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Finding the Third Proportional to 297,432 and 653,913

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Solution

The third proportional to 297,432 and 653,913 is: 1,437,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,432 : 653,913 = 653,913 : x
  2. Step 2: Convert to fraction form
    297,432/653,913 = 653,913/x
  3. Step 3: Cross multiply
    297,432x = 653,913 × 653,913
  4. Step 4: Simplify right side
    297,432x = 427,602,211,569
  5. Step 5: Solve for x
    x = 427,602,211,569/297,432
  6. Step 6: Final answer
    x = 1,437,646.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.