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Finding the Third Proportional to 473,712.75 and 728,136

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Solution

The third proportional to 473,712.75 and 728,136 is: 1,119,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,712.75 : 728,136 = 728,136 : x
  2. Step 2: Convert to fraction form
    473,712.75/728,136 = 728,136/x
  3. Step 3: Cross multiply
    473,712.75x = 728,136 × 728,136
  4. Step 4: Simplify right side
    473,712.75x = 530,182,034,496
  5. Step 5: Solve for x
    x = 530,182,034,496/473,712.75
  6. Step 6: Final answer
    x = 1,119,205.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.