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Finding the Third Proportional to 536,577 and 726,133.50

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Solution

The third proportional to 536,577 and 726,133.50 is: 982,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,577 : 726,133.50 = 726,133.50 : x
  2. Step 2: Convert to fraction form
    536,577/726,133.50 = 726,133.50/x
  3. Step 3: Cross multiply
    536,577x = 726,133.50 × 726,133.50
  4. Step 4: Simplify right side
    536,577x = 527,269,859,822.25
  5. Step 5: Solve for x
    x = 527,269,859,822.25/536,577
  6. Step 6: Final answer
    x = 982,654.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.