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Finding the Third Proportional to 30,559,728 and 66,158,304

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Solution

The third proportional to 30,559,728 and 66,158,304 is: 143,225,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,559,728 : 66,158,304 = 66,158,304 : x
  2. Step 2: Convert to fraction form
    30,559,728/66,158,304 = 66,158,304/x
  3. Step 3: Cross multiply
    30,559,728x = 66,158,304 × 66,158,304
  4. Step 4: Simplify right side
    30,559,728x = 4,376,921,188,156,416
  5. Step 5: Solve for x
    x = 4,376,921,188,156,416/30,559,728
  6. Step 6: Final answer
    x = 143,225,135.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.