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Finding the Third Proportional to 540,853.88 and 840,780

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Solution

The third proportional to 540,853.88 and 840,780 is: 1,307,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,853.88 : 840,780 = 840,780 : x
  2. Step 2: Convert to fraction form
    540,853.88/840,780 = 840,780/x
  3. Step 3: Cross multiply
    540,853.88x = 840,780 × 840,780
  4. Step 4: Simplify right side
    540,853.88x = 706,911,008,400
  5. Step 5: Solve for x
    x = 706,911,008,400/540,853.88
  6. Step 6: Final answer
    x = 1,307,027.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.