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Finding the Third Proportional to 153,513 and 215,871

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Solution

The third proportional to 153,513 and 215,871 is: 303,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,513 : 215,871 = 215,871 : x
  2. Step 2: Convert to fraction form
    153,513/215,871 = 215,871/x
  3. Step 3: Cross multiply
    153,513x = 215,871 × 215,871
  4. Step 4: Simplify right side
    153,513x = 46,600,288,641
  5. Step 5: Solve for x
    x = 46,600,288,641/153,513
  6. Step 6: Final answer
    x = 303,559.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.