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Finding the Third Proportional to 61,641 and 90,267.50

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Solution

The third proportional to 61,641 and 90,267.50 is: 132,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,641 : 90,267.50 = 90,267.50 : x
  2. Step 2: Convert to fraction form
    61,641/90,267.50 = 90,267.50/x
  3. Step 3: Cross multiply
    61,641x = 90,267.50 × 90,267.50
  4. Step 4: Simplify right side
    61,641x = 8,148,221,556.25
  5. Step 5: Solve for x
    x = 8,148,221,556.25/61,641
  6. Step 6: Final answer
    x = 132,188.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.