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Finding the Third Proportional to 420,600 and 653,088

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Solution

The third proportional to 420,600 and 653,088 is: 1,014,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,600 : 653,088 = 653,088 : x
  2. Step 2: Convert to fraction form
    420,600/653,088 = 653,088/x
  3. Step 3: Cross multiply
    420,600x = 653,088 × 653,088
  4. Step 4: Simplify right side
    420,600x = 426,523,935,744
  5. Step 5: Solve for x
    x = 426,523,935,744/420,600
  6. Step 6: Final answer
    x = 1,014,084.49

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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.