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Finding the Third Proportional to 292,291.50 and 465,451.50

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Solution

The third proportional to 292,291.50 and 465,451.50 is: 741,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,291.50 : 465,451.50 = 465,451.50 : x
  2. Step 2: Convert to fraction form
    292,291.50/465,451.50 = 465,451.50/x
  3. Step 3: Cross multiply
    292,291.50x = 465,451.50 × 465,451.50
  4. Step 4: Simplify right side
    292,291.50x = 216,645,098,852.25
  5. Step 5: Solve for x
    x = 216,645,098,852.25/292,291.50
  6. Step 6: Final answer
    x = 741,195.34

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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.