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Finding the Third Proportional to 252,559 and 392,118

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Solution

The third proportional to 252,559 and 392,118 is: 608,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,559 : 392,118 = 392,118 : x
  2. Step 2: Convert to fraction form
    252,559/392,118 = 392,118/x
  3. Step 3: Cross multiply
    252,559x = 392,118 × 392,118
  4. Step 4: Simplify right side
    252,559x = 153,756,525,924
  5. Step 5: Solve for x
    x = 153,756,525,924/252,559
  6. Step 6: Final answer
    x = 608,794.48

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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.