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Finding the Third Proportional to 157,286 and 339,484

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Solution

The third proportional to 157,286 and 339,484 is: 732,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,286 : 339,484 = 339,484 : x
  2. Step 2: Convert to fraction form
    157,286/339,484 = 339,484/x
  3. Step 3: Cross multiply
    157,286x = 339,484 × 339,484
  4. Step 4: Simplify right side
    157,286x = 115,249,386,256
  5. Step 5: Solve for x
    x = 115,249,386,256/157,286
  6. Step 6: Final answer
    x = 732,737.73

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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.