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Finding the Third Proportional to 153,033 and 215,122.50

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Solution

The third proportional to 153,033 and 215,122.50 is: 302,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,033 : 215,122.50 = 215,122.50 : x
  2. Step 2: Convert to fraction form
    153,033/215,122.50 = 215,122.50/x
  3. Step 3: Cross multiply
    153,033x = 215,122.50 × 215,122.50
  4. Step 4: Simplify right side
    153,033x = 46,277,690,006.25
  5. Step 5: Solve for x
    x = 46,277,690,006.25/153,033
  6. Step 6: Final answer
    x = 302,403.34

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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.