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Finding the Third Proportional to 421,670 and 652,209

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Solution

The third proportional to 421,670 and 652,209 is: 1,008,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,670 : 652,209 = 652,209 : x
  2. Step 2: Convert to fraction form
    421,670/652,209 = 652,209/x
  3. Step 3: Cross multiply
    421,670x = 652,209 × 652,209
  4. Step 4: Simplify right side
    421,670x = 425,376,579,681
  5. Step 5: Solve for x
    x = 425,376,579,681/421,670
  6. Step 6: Final answer
    x = 1,008,790.24

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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.