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Finding the Third Proportional to 732,540 and 1,583,512.50

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Solution

The third proportional to 732,540 and 1,583,512.50 is: 3,423,037.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,540 : 1,583,512.50 = 1,583,512.50 : x
  2. Step 2: Convert to fraction form
    732,540/1,583,512.50 = 1,583,512.50/x
  3. Step 3: Cross multiply
    732,540x = 1,583,512.50 × 1,583,512.50
  4. Step 4: Simplify right side
    732,540x = 2,507,511,837,656.25
  5. Step 5: Solve for x
    x = 2,507,511,837,656.25/732,540
  6. Step 6: Final answer
    x = 3,423,037.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.