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Finding the Third Proportional to 252,088 and 390,282

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Solution

The third proportional to 252,088 and 390,282 is: 604,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,088 : 390,282 = 390,282 : x
  2. Step 2: Convert to fraction form
    252,088/390,282 = 390,282/x
  3. Step 3: Cross multiply
    252,088x = 390,282 × 390,282
  4. Step 4: Simplify right side
    252,088x = 152,320,039,524
  5. Step 5: Solve for x
    x = 152,320,039,524/252,088
  6. Step 6: Final answer
    x = 604,233.60

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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.