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Finding the Third Proportional to 442,271 and 662,711

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Solution

The third proportional to 442,271 and 662,711 is: 993,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,271 : 662,711 = 662,711 : x
  2. Step 2: Convert to fraction form
    442,271/662,711 = 662,711/x
  3. Step 3: Cross multiply
    442,271x = 662,711 × 662,711
  4. Step 4: Simplify right side
    442,271x = 439,185,869,521
  5. Step 5: Solve for x
    x = 439,185,869,521/442,271
  6. Step 6: Final answer
    x = 993,024.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.