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Finding the Third Proportional to 252,560 and 392,120

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Solution

The third proportional to 252,560 and 392,120 is: 608,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,560 : 392,120 = 392,120 : x
  2. Step 2: Convert to fraction form
    252,560/392,120 = 392,120/x
  3. Step 3: Cross multiply
    252,560x = 392,120 × 392,120
  4. Step 4: Simplify right side
    252,560x = 153,758,094,400
  5. Step 5: Solve for x
    x = 153,758,094,400/252,560
  6. Step 6: Final answer
    x = 608,798.28

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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.