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Finding the Third Proportional to 387,830.25 and 568,965.38

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Solution

The third proportional to 387,830.25 and 568,965.38 is: 834,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,830.25 : 568,965.38 = 568,965.38 : x
  2. Step 2: Convert to fraction form
    387,830.25/568,965.38 = 568,965.38/x
  3. Step 3: Cross multiply
    387,830.25x = 568,965.38 × 568,965.38
  4. Step 4: Simplify right side
    387,830.25x = 323,721,597,948.89
  5. Step 5: Solve for x
    x = 323,721,597,948.89/387,830.25
  6. Step 6: Final answer
    x = 834,699.20

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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.