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Finding the Third Proportional to 153,036.75 and 215,128.13

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Solution

The third proportional to 153,036.75 and 215,128.13 is: 302,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,036.75 : 215,128.13 = 215,128.13 : x
  2. Step 2: Convert to fraction form
    153,036.75/215,128.13 = 215,128.13/x
  3. Step 3: Cross multiply
    153,036.75x = 215,128.13 × 215,128.13
  4. Step 4: Simplify right side
    153,036.75x = 46,280,110,166.02
  5. Step 5: Solve for x
    x = 46,280,110,166.02/153,036.75
  6. Step 6: Final answer
    x = 302,411.74

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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.