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Finding the Third Proportional to 286,715.53 and 401,115.38

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Solution

The third proportional to 286,715.53 and 401,115.38 is: 561,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,715.53 : 401,115.38 = 401,115.38 : x
  2. Step 2: Convert to fraction form
    286,715.53/401,115.38 = 401,115.38/x
  3. Step 3: Cross multiply
    286,715.53x = 401,115.38 × 401,115.38
  4. Step 4: Simplify right side
    286,715.53x = 160,893,544,061.39
  5. Step 5: Solve for x
    x = 160,893,544,061.39/286,715.53
  6. Step 6: Final answer
    x = 561,160.89

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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.