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Finding the Third Proportional to 420,548 and 918,792

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Solution

The third proportional to 420,548 and 918,792 is: 2,007,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,548 : 918,792 = 918,792 : x
  2. Step 2: Convert to fraction form
    420,548/918,792 = 918,792/x
  3. Step 3: Cross multiply
    420,548x = 918,792 × 918,792
  4. Step 4: Simplify right side
    420,548x = 844,178,739,264
  5. Step 5: Solve for x
    x = 844,178,739,264/420,548
  6. Step 6: Final answer
    x = 2,007,330.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.