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Finding the Third Proportional to 323,184 and 687,840

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Solution

The third proportional to 323,184 and 687,840 is: 1,463,945.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,184 : 687,840 = 687,840 : x
  2. Step 2: Convert to fraction form
    323,184/687,840 = 687,840/x
  3. Step 3: Cross multiply
    323,184x = 687,840 × 687,840
  4. Step 4: Simplify right side
    323,184x = 473,123,865,600
  5. Step 5: Solve for x
    x = 473,123,865,600/323,184
  6. Step 6: Final answer
    x = 1,463,945.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.