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Finding the Third Proportional to 408,810.38 and 572,865.75

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Solution

The third proportional to 408,810.38 and 572,865.75 is: 802,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,810.38 : 572,865.75 = 572,865.75 : x
  2. Step 2: Convert to fraction form
    408,810.38/572,865.75 = 572,865.75/x
  3. Step 3: Cross multiply
    408,810.38x = 572,865.75 × 572,865.75
  4. Step 4: Simplify right side
    408,810.38x = 328,175,167,523.06
  5. Step 5: Solve for x
    x = 328,175,167,523.06/408,810.38
  6. Step 6: Final answer
    x = 802,756.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.