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Finding the Third Proportional to 281,100,349,065 and 428,236,937,636

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Solution

The third proportional to 281,100,349,065 and 428,236,937,636 is: 652,389,352,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,100,349,065 : 428,236,937,636 = 428,236,937,636 : x
  2. Step 2: Convert to fraction form
    281,100,349,065/428,236,937,636 = 428,236,937,636/x
  3. Step 3: Cross multiply
    281,100,349,065x = 428,236,937,636 × 428,236,937,636
  4. Step 4: Simplify right side
    281,100,349,065x = 183,386,874,755,859,368,378,368
  5. Step 5: Solve for x
    x = 183,386,874,755,859,368,378,368/281,100,349,065
  6. Step 6: Final answer
    x = 652,389,352,648.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.