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Finding the Third Proportional to 142,517,712 and 312,273,696

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Solution

The third proportional to 142,517,712 and 312,273,696 is: 684,229,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,517,712 : 312,273,696 = 312,273,696 : x
  2. Step 2: Convert to fraction form
    142,517,712/312,273,696 = 312,273,696/x
  3. Step 3: Cross multiply
    142,517,712x = 312,273,696 × 312,273,696
  4. Step 4: Simplify right side
    142,517,712x = 97,514,861,213,500,416
  5. Step 5: Solve for x
    x = 97,514,861,213,500,416/142,517,712
  6. Step 6: Final answer
    x = 684,229,769.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.