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Finding the Third Proportional to 547,497 and 732,352.50

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Solution

The third proportional to 547,497 and 732,352.50 is: 979,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,497 : 732,352.50 = 732,352.50 : x
  2. Step 2: Convert to fraction form
    547,497/732,352.50 = 732,352.50/x
  3. Step 3: Cross multiply
    547,497x = 732,352.50 × 732,352.50
  4. Step 4: Simplify right side
    547,497x = 536,340,184,256.25
  5. Step 5: Solve for x
    x = 536,340,184,256.25/547,497
  6. Step 6: Final answer
    x = 979,622.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.