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Finding the Third Proportional to 315,860 and 417,342

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Solution

The third proportional to 315,860 and 417,342 is: 551,428.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,860 : 417,342 = 417,342 : x
  2. Step 2: Convert to fraction form
    315,860/417,342 = 417,342/x
  3. Step 3: Cross multiply
    315,860x = 417,342 × 417,342
  4. Step 4: Simplify right side
    315,860x = 174,174,344,964
  5. Step 5: Solve for x
    x = 174,174,344,964/315,860
  6. Step 6: Final answer
    x = 551,428.94

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.