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Finding the Third Proportional to 442,989 and 681,736.50

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Solution

The third proportional to 442,989 and 681,736.50 is: 1,049,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,989 : 681,736.50 = 681,736.50 : x
  2. Step 2: Convert to fraction form
    442,989/681,736.50 = 681,736.50/x
  3. Step 3: Cross multiply
    442,989x = 681,736.50 × 681,736.50
  4. Step 4: Simplify right side
    442,989x = 464,764,655,432.25
  5. Step 5: Solve for x
    x = 464,764,655,432.25/442,989
  6. Step 6: Final answer
    x = 1,049,156.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.