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Finding the Third Proportional to 157,207 and 339,428

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Solution

The third proportional to 157,207 and 339,428 is: 732,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,207 : 339,428 = 339,428 : x
  2. Step 2: Convert to fraction form
    157,207/339,428 = 339,428/x
  3. Step 3: Cross multiply
    157,207x = 339,428 × 339,428
  4. Step 4: Simplify right side
    157,207x = 115,211,367,184
  5. Step 5: Solve for x
    x = 115,211,367,184/157,207
  6. Step 6: Final answer
    x = 732,864.10

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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.