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Finding the Third Proportional to 491,221.50 and 781,114.50

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Solution

The third proportional to 491,221.50 and 781,114.50 is: 1,242,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,221.50 : 781,114.50 = 781,114.50 : x
  2. Step 2: Convert to fraction form
    491,221.50/781,114.50 = 781,114.50/x
  3. Step 3: Cross multiply
    491,221.50x = 781,114.50 × 781,114.50
  4. Step 4: Simplify right side
    491,221.50x = 610,139,862,110.25
  5. Step 5: Solve for x
    x = 610,139,862,110.25/491,221.50
  6. Step 6: Final answer
    x = 1,242,087.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.