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Finding the Third Proportional to 489,862.69 and 742,177.69

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Solution

The third proportional to 489,862.69 and 742,177.69 is: 1,124,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,862.69 : 742,177.69 = 742,177.69 : x
  2. Step 2: Convert to fraction form
    489,862.69/742,177.69 = 742,177.69/x
  3. Step 3: Cross multiply
    489,862.69x = 742,177.69 × 742,177.69
  4. Step 4: Simplify right side
    489,862.69x = 550,827,719,822.85
  5. Step 5: Solve for x
    x = 550,827,719,822.85/489,862.69
  6. Step 6: Final answer
    x = 1,124,453.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.