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Finding the Third Proportional to 1,257.50 and 1,907.13

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Solution

The third proportional to 1,257.50 and 1,907.13 is: 2,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.50 : 1,907.13 = 1,907.13 : x
  2. Step 2: Convert to fraction form
    1,257.50/1,907.13 = 1,907.13/x
  3. Step 3: Cross multiply
    1,257.50x = 1,907.13 × 1,907.13
  4. Step 4: Simplify right side
    1,257.50x = 3,637,125.77
  5. Step 5: Solve for x
    x = 3,637,125.77/1,257.50
  6. Step 6: Final answer
    x = 2,892.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.