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Finding the Third Proportional to 420,648 and 652,580

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Solution

The third proportional to 420,648 and 652,580 is: 1,012,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,648 : 652,580 = 652,580 : x
  2. Step 2: Convert to fraction form
    420,648/652,580 = 652,580/x
  3. Step 3: Cross multiply
    420,648x = 652,580 × 652,580
  4. Step 4: Simplify right side
    420,648x = 425,860,656,400
  5. Step 5: Solve for x
    x = 425,860,656,400/420,648
  6. Step 6: Final answer
    x = 1,012,391.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.