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Finding the Third Proportional to 297,290 and 653,620

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Solution

The third proportional to 297,290 and 653,620 is: 1,437,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,290 : 653,620 = 653,620 : x
  2. Step 2: Convert to fraction form
    297,290/653,620 = 653,620/x
  3. Step 3: Cross multiply
    297,290x = 653,620 × 653,620
  4. Step 4: Simplify right side
    297,290x = 427,219,104,400
  5. Step 5: Solve for x
    x = 427,219,104,400/297,290
  6. Step 6: Final answer
    x = 1,437,044.99

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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.