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Finding the Third Proportional to 157,712 and 336,070

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Solution

The third proportional to 157,712 and 336,070 is: 716,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,712 : 336,070 = 336,070 : x
  2. Step 2: Convert to fraction form
    157,712/336,070 = 336,070/x
  3. Step 3: Cross multiply
    157,712x = 336,070 × 336,070
  4. Step 4: Simplify right side
    157,712x = 112,943,044,900
  5. Step 5: Solve for x
    x = 112,943,044,900/157,712
  6. Step 6: Final answer
    x = 716,134.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.