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Finding the Third Proportional to 90,788 and 140,010

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Solution

The third proportional to 90,788 and 140,010 is: 215,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,788 : 140,010 = 140,010 : x
  2. Step 2: Convert to fraction form
    90,788/140,010 = 140,010/x
  3. Step 3: Cross multiply
    90,788x = 140,010 × 140,010
  4. Step 4: Simplify right side
    90,788x = 19,602,800,100
  5. Step 5: Solve for x
    x = 19,602,800,100/90,788
  6. Step 6: Final answer
    x = 215,918.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.