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Finding the Third Proportional to 423,542.25 and 621,184.88

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Solution

The third proportional to 423,542.25 and 621,184.88 is: 911,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,542.25 : 621,184.88 = 621,184.88 : x
  2. Step 2: Convert to fraction form
    423,542.25/621,184.88 = 621,184.88/x
  3. Step 3: Cross multiply
    423,542.25x = 621,184.88 × 621,184.88
  4. Step 4: Simplify right side
    423,542.25x = 385,870,648,928.77
  5. Step 5: Solve for x
    x = 385,870,648,928.77/423,542.25
  6. Step 6: Final answer
    x = 911,055.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.