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Finding the Third Proportional to 752,463 and 1,165,594.50

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Solution

The third proportional to 752,463 and 1,165,594.50 is: 1,805,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,463 : 1,165,594.50 = 1,165,594.50 : x
  2. Step 2: Convert to fraction form
    752,463/1,165,594.50 = 1,165,594.50/x
  3. Step 3: Cross multiply
    752,463x = 1,165,594.50 × 1,165,594.50
  4. Step 4: Simplify right side
    752,463x = 1,358,610,538,430.25
  5. Step 5: Solve for x
    x = 1,358,610,538,430.25/752,463
  6. Step 6: Final answer
    x = 1,805,551.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.