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Finding the Third Proportional to 375,318 and 553,086

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Solution

The third proportional to 375,318 and 553,086 is: 815,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,318 : 553,086 = 553,086 : x
  2. Step 2: Convert to fraction form
    375,318/553,086 = 553,086/x
  3. Step 3: Cross multiply
    375,318x = 553,086 × 553,086
  4. Step 4: Simplify right side
    375,318x = 305,904,123,396
  5. Step 5: Solve for x
    x = 305,904,123,396/375,318
  6. Step 6: Final answer
    x = 815,053.16

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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.