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Finding the Third Proportional to 66,986,070 and 144,236,304

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Solution

The third proportional to 66,986,070 and 144,236,304 is: 310,573,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,986,070 : 144,236,304 = 144,236,304 : x
  2. Step 2: Convert to fraction form
    66,986,070/144,236,304 = 144,236,304/x
  3. Step 3: Cross multiply
    66,986,070x = 144,236,304 × 144,236,304
  4. Step 4: Simplify right side
    66,986,070x = 20,804,111,391,580,416
  5. Step 5: Solve for x
    x = 20,804,111,391,580,416/66,986,070
  6. Step 6: Final answer
    x = 310,573,696.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.