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Finding the Third Proportional to 145,552 and 217,429

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Solution

The third proportional to 145,552 and 217,429 is: 324,800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,552 : 217,429 = 217,429 : x
  2. Step 2: Convert to fraction form
    145,552/217,429 = 217,429/x
  3. Step 3: Cross multiply
    145,552x = 217,429 × 217,429
  4. Step 4: Simplify right side
    145,552x = 47,275,370,041
  5. Step 5: Solve for x
    x = 47,275,370,041/145,552
  6. Step 6: Final answer
    x = 324,800.55

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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.