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Finding the Third Proportional to 145,702 and 317,882

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Solution

The third proportional to 145,702 and 317,882 is: 693,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,702 : 317,882 = 317,882 : x
  2. Step 2: Convert to fraction form
    145,702/317,882 = 317,882/x
  3. Step 3: Cross multiply
    145,702x = 317,882 × 317,882
  4. Step 4: Simplify right side
    145,702x = 101,048,965,924
  5. Step 5: Solve for x
    x = 101,048,965,924/145,702
  6. Step 6: Final answer
    x = 693,531.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.