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Finding the Third Proportional to 145,387 and 317,777

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Solution

The third proportional to 145,387 and 317,777 is: 694,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,387 : 317,777 = 317,777 : x
  2. Step 2: Convert to fraction form
    145,387/317,777 = 317,777/x
  3. Step 3: Cross multiply
    145,387x = 317,777 × 317,777
  4. Step 4: Simplify right side
    145,387x = 100,982,221,729
  5. Step 5: Solve for x
    x = 100,982,221,729/145,387
  6. Step 6: Final answer
    x = 694,575.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.