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Finding the Third Proportional to 421,818 and 915,624

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Solution

The third proportional to 421,818 and 915,624 is: 1,987,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,818 : 915,624 = 915,624 : x
  2. Step 2: Convert to fraction form
    421,818/915,624 = 915,624/x
  3. Step 3: Cross multiply
    421,818x = 915,624 × 915,624
  4. Step 4: Simplify right side
    421,818x = 838,367,309,376
  5. Step 5: Solve for x
    x = 838,367,309,376/421,818
  6. Step 6: Final answer
    x = 1,987,509.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.