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Finding the Third Proportional to 145,533 and 318,120

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Solution

The third proportional to 145,533 and 318,120 is: 695,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,533 : 318,120 = 318,120 : x
  2. Step 2: Convert to fraction form
    145,533/318,120 = 318,120/x
  3. Step 3: Cross multiply
    145,533x = 318,120 × 318,120
  4. Step 4: Simplify right side
    145,533x = 101,200,334,400
  5. Step 5: Solve for x
    x = 101,200,334,400/145,533
  6. Step 6: Final answer
    x = 695,377.23

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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.