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Finding the Third Proportional to 409,548 and 851,792

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Solution

The third proportional to 409,548 and 851,792 is: 1,771,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,548 : 851,792 = 851,792 : x
  2. Step 2: Convert to fraction form
    409,548/851,792 = 851,792/x
  3. Step 3: Cross multiply
    409,548x = 851,792 × 851,792
  4. Step 4: Simplify right side
    409,548x = 725,549,611,264
  5. Step 5: Solve for x
    x = 725,549,611,264/409,548
  6. Step 6: Final answer
    x = 1,771,586.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.