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Finding the Third Proportional to 475,478 and 698,658

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Solution

The third proportional to 475,478 and 698,658 is: 1,026,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,478 : 698,658 = 698,658 : x
  2. Step 2: Convert to fraction form
    475,478/698,658 = 698,658/x
  3. Step 3: Cross multiply
    475,478x = 698,658 × 698,658
  4. Step 4: Simplify right side
    475,478x = 488,123,000,964
  5. Step 5: Solve for x
    x = 488,123,000,964/475,478
  6. Step 6: Final answer
    x = 1,026,594.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.