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Finding the Third Proportional to 540,780 and 1,251,871.50

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Solution

The third proportional to 540,780 and 1,251,871.50 is: 2,898,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,780 : 1,251,871.50 = 1,251,871.50 : x
  2. Step 2: Convert to fraction form
    540,780/1,251,871.50 = 1,251,871.50/x
  3. Step 3: Cross multiply
    540,780x = 1,251,871.50 × 1,251,871.50
  4. Step 4: Simplify right side
    540,780x = 1,567,182,252,512.25
  5. Step 5: Solve for x
    x = 1,567,182,252,512.25/540,780
  6. Step 6: Final answer
    x = 2,898,003.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.