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Finding the Third Proportional to 252,586 and 390,137

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Solution

The third proportional to 252,586 and 390,137 is: 602,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,586 : 390,137 = 390,137 : x
  2. Step 2: Convert to fraction form
    252,586/390,137 = 390,137/x
  3. Step 3: Cross multiply
    252,586x = 390,137 × 390,137
  4. Step 4: Simplify right side
    252,586x = 152,206,878,769
  5. Step 5: Solve for x
    x = 152,206,878,769/252,586
  6. Step 6: Final answer
    x = 602,594.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.