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Finding the Third Proportional to 142,044,160 and 306,464,768

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Solution

The third proportional to 142,044,160 and 306,464,768 is: 661,207,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,044,160 : 306,464,768 = 306,464,768 : x
  2. Step 2: Convert to fraction form
    142,044,160/306,464,768 = 306,464,768/x
  3. Step 3: Cross multiply
    142,044,160x = 306,464,768 × 306,464,768
  4. Step 4: Simplify right side
    142,044,160x = 93,920,654,025,293,824
  5. Step 5: Solve for x
    x = 93,920,654,025,293,824/142,044,160
  6. Step 6: Final answer
    x = 661,207,430.32

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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.