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Finding the Third Proportional to 540,907.31 and 856,512.84

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Solution

The third proportional to 540,907.31 and 856,512.84 is: 1,356,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,907.31 : 856,512.84 = 856,512.84 : x
  2. Step 2: Convert to fraction form
    540,907.31/856,512.84 = 856,512.84/x
  3. Step 3: Cross multiply
    540,907.31x = 856,512.84 × 856,512.84
  4. Step 4: Simplify right side
    540,907.31x = 733,614,251,508.71
  5. Step 5: Solve for x
    x = 733,614,251,508.71/540,907.31
  6. Step 6: Final answer
    x = 1,356,266.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.