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Finding the Third Proportional to 721,808 and 1,587,136

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Solution

The third proportional to 721,808 and 1,587,136 is: 3,489,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,808 : 1,587,136 = 1,587,136 : x
  2. Step 2: Convert to fraction form
    721,808/1,587,136 = 1,587,136/x
  3. Step 3: Cross multiply
    721,808x = 1,587,136 × 1,587,136
  4. Step 4: Simplify right side
    721,808x = 2,519,000,682,496
  5. Step 5: Solve for x
    x = 2,519,000,682,496/721,808
  6. Step 6: Final answer
    x = 3,489,848.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.