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Finding the Third Proportional to 153,036 and 215,127.75

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Solution

The third proportional to 153,036 and 215,127.75 is: 302,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,036 : 215,127.75 = 215,127.75 : x
  2. Step 2: Convert to fraction form
    153,036/215,127.75 = 215,127.75/x
  3. Step 3: Cross multiply
    153,036x = 215,127.75 × 215,127.75
  4. Step 4: Simplify right side
    153,036x = 46,279,948,820.06
  5. Step 5: Solve for x
    x = 46,279,948,820.06/153,036
  6. Step 6: Final answer
    x = 302,412.17

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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.