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Finding the Third Proportional to 145,534 and 217,402

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Solution

The third proportional to 145,534 and 217,402 is: 324,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,534 : 217,402 = 217,402 : x
  2. Step 2: Convert to fraction form
    145,534/217,402 = 217,402/x
  3. Step 3: Cross multiply
    145,534x = 217,402 × 217,402
  4. Step 4: Simplify right side
    145,534x = 47,263,629,604
  5. Step 5: Solve for x
    x = 47,263,629,604/145,534
  6. Step 6: Final answer
    x = 324,760.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.