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Finding the Third Proportional to 317,731 and 698,434

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Solution

The third proportional to 317,731 and 698,434 is: 1,535,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,731 : 698,434 = 698,434 : x
  2. Step 2: Convert to fraction form
    317,731/698,434 = 698,434/x
  3. Step 3: Cross multiply
    317,731x = 698,434 × 698,434
  4. Step 4: Simplify right side
    317,731x = 487,810,052,356
  5. Step 5: Solve for x
    x = 487,810,052,356/317,731
  6. Step 6: Final answer
    x = 1,535,292.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.