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Finding the Third Proportional to 491,730 and 742,117

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Solution

The third proportional to 491,730 and 742,117 is: 1,120,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,730 : 742,117 = 742,117 : x
  2. Step 2: Convert to fraction form
    491,730/742,117 = 742,117/x
  3. Step 3: Cross multiply
    491,730x = 742,117 × 742,117
  4. Step 4: Simplify right side
    491,730x = 550,737,641,689
  5. Step 5: Solve for x
    x = 550,737,641,689/491,730
  6. Step 6: Final answer
    x = 1,120,000.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.