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Finding the Third Proportional to 251,799 and 390,463.50

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Solution

The third proportional to 251,799 and 390,463.50 is: 605,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,799 : 390,463.50 = 390,463.50 : x
  2. Step 2: Convert to fraction form
    251,799/390,463.50 = 390,463.50/x
  3. Step 3: Cross multiply
    251,799x = 390,463.50 × 390,463.50
  4. Step 4: Simplify right side
    251,799x = 152,461,744,832.25
  5. Step 5: Solve for x
    x = 152,461,744,832.25/251,799
  6. Step 6: Final answer
    x = 605,489.87

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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.