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Finding the Third Proportional to 253,053 and 378,877.50

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Solution

The third proportional to 253,053 and 378,877.50 is: 567,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,053 : 378,877.50 = 378,877.50 : x
  2. Step 2: Convert to fraction form
    253,053/378,877.50 = 378,877.50/x
  3. Step 3: Cross multiply
    253,053x = 378,877.50 × 378,877.50
  4. Step 4: Simplify right side
    253,053x = 143,548,160,006.25
  5. Step 5: Solve for x
    x = 143,548,160,006.25/253,053
  6. Step 6: Final answer
    x = 567,265.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.