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Finding the Third Proportional to 421,911 and 563,598

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Solution

The third proportional to 421,911 and 563,598 is: 752,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,911 : 563,598 = 563,598 : x
  2. Step 2: Convert to fraction form
    421,911/563,598 = 563,598/x
  3. Step 3: Cross multiply
    421,911x = 563,598 × 563,598
  4. Step 4: Simplify right side
    421,911x = 317,642,705,604
  5. Step 5: Solve for x
    x = 317,642,705,604/421,911
  6. Step 6: Final answer
    x = 752,866.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.