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Finding the Third Proportional to 252,580 and 390,128

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Solution

The third proportional to 252,580 and 390,128 is: 602,580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,580 : 390,128 = 390,128 : x
  2. Step 2: Convert to fraction form
    252,580/390,128 = 390,128/x
  3. Step 3: Cross multiply
    252,580x = 390,128 × 390,128
  4. Step 4: Simplify right side
    252,580x = 152,199,856,384
  5. Step 5: Solve for x
    x = 152,199,856,384/252,580
  6. Step 6: Final answer
    x = 602,580.79

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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.