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Finding the Third Proportional to 421,416 and 660,363

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Solution

The third proportional to 421,416 and 660,363 is: 1,034,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,416 : 660,363 = 660,363 : x
  2. Step 2: Convert to fraction form
    421,416/660,363 = 660,363/x
  3. Step 3: Cross multiply
    421,416x = 660,363 × 660,363
  4. Step 4: Simplify right side
    421,416x = 436,079,291,769
  5. Step 5: Solve for x
    x = 436,079,291,769/421,416
  6. Step 6: Final answer
    x = 1,034,795.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.