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Finding the Third Proportional to 420,714 and 652,680

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Solution

The third proportional to 420,714 and 652,680 is: 1,012,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,714 : 652,680 = 652,680 : x
  2. Step 2: Convert to fraction form
    420,714/652,680 = 652,680/x
  3. Step 3: Cross multiply
    420,714x = 652,680 × 652,680
  4. Step 4: Simplify right side
    420,714x = 425,991,182,400
  5. Step 5: Solve for x
    x = 425,991,182,400/420,714
  6. Step 6: Final answer
    x = 1,012,543.40

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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.