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Finding the Third Proportional to 252,102 and 390,309

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Solution

The third proportional to 252,102 and 390,309 is: 604,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,102 : 390,309 = 390,309 : x
  2. Step 2: Convert to fraction form
    252,102/390,309 = 390,309/x
  3. Step 3: Cross multiply
    252,102x = 390,309 × 390,309
  4. Step 4: Simplify right side
    252,102x = 152,341,115,481
  5. Step 5: Solve for x
    x = 152,341,115,481/252,102
  6. Step 6: Final answer
    x = 604,283.65

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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.