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Finding the Third Proportional to 252,570 and 392,135

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Solution

The third proportional to 252,570 and 392,135 is: 608,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,570 : 392,135 = 392,135 : x
  2. Step 2: Convert to fraction form
    252,570/392,135 = 392,135/x
  3. Step 3: Cross multiply
    252,570x = 392,135 × 392,135
  4. Step 4: Simplify right side
    252,570x = 153,769,858,225
  5. Step 5: Solve for x
    x = 153,769,858,225/252,570
  6. Step 6: Final answer
    x = 608,820.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.