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Finding the Third Proportional to 487,374 and 1,086,811.50

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Solution

The third proportional to 487,374 and 1,086,811.50 is: 2,423,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,374 : 1,086,811.50 = 1,086,811.50 : x
  2. Step 2: Convert to fraction form
    487,374/1,086,811.50 = 1,086,811.50/x
  3. Step 3: Cross multiply
    487,374x = 1,086,811.50 × 1,086,811.50
  4. Step 4: Simplify right side
    487,374x = 1,181,159,236,532.25
  5. Step 5: Solve for x
    x = 1,181,159,236,532.25/487,374
  6. Step 6: Final answer
    x = 2,423,517.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.