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Finding the Third Proportional to 420,840 and 652,971

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Solution

The third proportional to 420,840 and 652,971 is: 1,013,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,840 : 652,971 = 652,971 : x
  2. Step 2: Convert to fraction form
    420,840/652,971 = 652,971/x
  3. Step 3: Cross multiply
    420,840x = 652,971 × 652,971
  4. Step 4: Simplify right side
    420,840x = 426,371,126,841
  5. Step 5: Solve for x
    x = 426,371,126,841/420,840
  6. Step 6: Final answer
    x = 1,013,143.06

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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.