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Finding the Third Proportional to 477,042 and 645,579

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Solution

The third proportional to 477,042 and 645,579 is: 873,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,042 : 645,579 = 645,579 : x
  2. Step 2: Convert to fraction form
    477,042/645,579 = 645,579/x
  3. Step 3: Cross multiply
    477,042x = 645,579 × 645,579
  4. Step 4: Simplify right side
    477,042x = 416,772,245,241
  5. Step 5: Solve for x
    x = 416,772,245,241/477,042
  6. Step 6: Final answer
    x = 873,659.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.