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Finding the Third Proportional to 252,272 and 390,648

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Solution

The third proportional to 252,272 and 390,648 is: 604,925.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,272 : 390,648 = 390,648 : x
  2. Step 2: Convert to fraction form
    252,272/390,648 = 390,648/x
  3. Step 3: Cross multiply
    252,272x = 390,648 × 390,648
  4. Step 4: Simplify right side
    252,272x = 152,605,859,904
  5. Step 5: Solve for x
    x = 152,605,859,904/252,272
  6. Step 6: Final answer
    x = 604,925.87

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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.