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Finding the Third Proportional to 543,742.88 and 840,218.06

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Solution

The third proportional to 543,742.88 and 840,218.06 is: 1,298,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,742.88 : 840,218.06 = 840,218.06 : x
  2. Step 2: Convert to fraction form
    543,742.88/840,218.06 = 840,218.06/x
  3. Step 3: Cross multiply
    543,742.88x = 840,218.06 × 840,218.06
  4. Step 4: Simplify right side
    543,742.88x = 705,966,392,551.25
  5. Step 5: Solve for x
    x = 705,966,392,551.25/543,742.88
  6. Step 6: Final answer
    x = 1,298,346.01

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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.