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Finding the Third Proportional to 686,600 and 1,005,324

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Solution

The third proportional to 686,600 and 1,005,324 is: 1,472,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,600 : 1,005,324 = 1,005,324 : x
  2. Step 2: Convert to fraction form
    686,600/1,005,324 = 1,005,324/x
  3. Step 3: Cross multiply
    686,600x = 1,005,324 × 1,005,324
  4. Step 4: Simplify right side
    686,600x = 1,010,676,344,976
  5. Step 5: Solve for x
    x = 1,010,676,344,976/686,600
  6. Step 6: Final answer
    x = 1,472,001.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.