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Finding the Third Proportional to 420,438 and 652,768

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Solution

The third proportional to 420,438 and 652,768 is: 1,013,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,438 : 652,768 = 652,768 : x
  2. Step 2: Convert to fraction form
    420,438/652,768 = 652,768/x
  3. Step 3: Cross multiply
    420,438x = 652,768 × 652,768
  4. Step 4: Simplify right side
    420,438x = 426,106,061,824
  5. Step 5: Solve for x
    x = 426,106,061,824/420,438
  6. Step 6: Final answer
    x = 1,013,481.33

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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.