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Finding the Third Proportional to 420,421 and 652,773

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Solution

The third proportional to 420,421 and 652,773 is: 1,013,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,421 : 652,773 = 652,773 : x
  2. Step 2: Convert to fraction form
    420,421/652,773 = 652,773/x
  3. Step 3: Cross multiply
    420,421x = 652,773 × 652,773
  4. Step 4: Simplify right side
    420,421x = 426,112,589,529
  5. Step 5: Solve for x
    x = 426,112,589,529/420,421
  6. Step 6: Final answer
    x = 1,013,537.83

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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.