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Finding the Third Proportional to 153,973.50 and 215,241

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Solution

The third proportional to 153,973.50 and 215,241 is: 300,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,973.50 : 215,241 = 215,241 : x
  2. Step 2: Convert to fraction form
    153,973.50/215,241 = 215,241/x
  3. Step 3: Cross multiply
    153,973.50x = 215,241 × 215,241
  4. Step 4: Simplify right side
    153,973.50x = 46,328,688,081
  5. Step 5: Solve for x
    x = 46,328,688,081/153,973.50
  6. Step 6: Final answer
    x = 300,887.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.