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Finding the Third Proportional to 443,376 and 918,282

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Solution

The third proportional to 443,376 and 918,282 is: 1,901,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,376 : 918,282 = 918,282 : x
  2. Step 2: Convert to fraction form
    443,376/918,282 = 918,282/x
  3. Step 3: Cross multiply
    443,376x = 918,282 × 918,282
  4. Step 4: Simplify right side
    443,376x = 843,241,831,524
  5. Step 5: Solve for x
    x = 843,241,831,524/443,376
  6. Step 6: Final answer
    x = 1,901,866.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.