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Finding the Third Proportional to 423,174 and 655,659

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Solution

The third proportional to 423,174 and 655,659 is: 1,015,867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,174 : 655,659 = 655,659 : x
  2. Step 2: Convert to fraction form
    423,174/655,659 = 655,659/x
  3. Step 3: Cross multiply
    423,174x = 655,659 × 655,659
  4. Step 4: Simplify right side
    423,174x = 429,888,724,281
  5. Step 5: Solve for x
    x = 429,888,724,281/423,174
  6. Step 6: Final answer
    x = 1,015,867.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.