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Finding the Third Proportional to 423,543 and 621,186

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Solution

The third proportional to 423,543 and 621,186 is: 911,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,543 : 621,186 = 621,186 : x
  2. Step 2: Convert to fraction form
    423,543/621,186 = 621,186/x
  3. Step 3: Cross multiply
    423,543x = 621,186 × 621,186
  4. Step 4: Simplify right side
    423,543x = 385,872,046,596
  5. Step 5: Solve for x
    x = 385,872,046,596/423,543
  6. Step 6: Final answer
    x = 911,057.55

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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.