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Finding the Third Proportional to 99,722.07 and 221,587.52

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Solution

The third proportional to 99,722.07 and 221,587.52 is: 492,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,722.07 : 221,587.52 = 221,587.52 : x
  2. Step 2: Convert to fraction form
    99,722.07/221,587.52 = 221,587.52/x
  3. Step 3: Cross multiply
    99,722.07x = 221,587.52 × 221,587.52
  4. Step 4: Simplify right side
    99,722.07x = 49,101,030,543.16
  5. Step 5: Solve for x
    x = 49,101,030,543.16/99,722.07
  6. Step 6: Final answer
    x = 492,378.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.