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Finding the Third Proportional to 331,480 and 723,681

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Solution

The third proportional to 331,480 and 723,681 is: 1,579,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,480 : 723,681 = 723,681 : x
  2. Step 2: Convert to fraction form
    331,480/723,681 = 723,681/x
  3. Step 3: Cross multiply
    331,480x = 723,681 × 723,681
  4. Step 4: Simplify right side
    331,480x = 523,714,189,761
  5. Step 5: Solve for x
    x = 523,714,189,761/331,480
  6. Step 6: Final answer
    x = 1,579,926.96

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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.