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Finding the Third Proportional to 255,438.56 and 547,539.75

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Solution

The third proportional to 255,438.56 and 547,539.75 is: 1,173,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,438.56 : 547,539.75 = 547,539.75 : x
  2. Step 2: Convert to fraction form
    255,438.56/547,539.75 = 547,539.75/x
  3. Step 3: Cross multiply
    255,438.56x = 547,539.75 × 547,539.75
  4. Step 4: Simplify right side
    255,438.56x = 299,799,777,830.06
  5. Step 5: Solve for x
    x = 299,799,777,830.06/255,438.56
  6. Step 6: Final answer
    x = 1,173,666.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.