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Finding the Third Proportional to 257,097.38 and 558,420.75

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Solution

The third proportional to 257,097.38 and 558,420.75 is: 1,212,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,097.38 : 558,420.75 = 558,420.75 : x
  2. Step 2: Convert to fraction form
    257,097.38/558,420.75 = 558,420.75/x
  3. Step 3: Cross multiply
    257,097.38x = 558,420.75 × 558,420.75
  4. Step 4: Simplify right side
    257,097.38x = 311,833,734,030.56
  5. Step 5: Solve for x
    x = 311,833,734,030.56/257,097.38
  6. Step 6: Final answer
    x = 1,212,901.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.