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Finding the Third Proportional to 491,746 and 742,128

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Solution

The third proportional to 491,746 and 742,128 is: 1,119,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,746 : 742,128 = 742,128 : x
  2. Step 2: Convert to fraction form
    491,746/742,128 = 742,128/x
  3. Step 3: Cross multiply
    491,746x = 742,128 × 742,128
  4. Step 4: Simplify right side
    491,746x = 550,753,968,384
  5. Step 5: Solve for x
    x = 550,753,968,384/491,746
  6. Step 6: Final answer
    x = 1,119,996.84

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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.