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Finding the Third Proportional to 432,356 and 687,026

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Solution

The third proportional to 432,356 and 687,026 is: 1,091,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,356 : 687,026 = 687,026 : x
  2. Step 2: Convert to fraction form
    432,356/687,026 = 687,026/x
  3. Step 3: Cross multiply
    432,356x = 687,026 × 687,026
  4. Step 4: Simplify right side
    432,356x = 472,004,724,676
  5. Step 5: Solve for x
    x = 472,004,724,676/432,356
  6. Step 6: Final answer
    x = 1,091,703.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.