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Finding the Third Proportional to 390,043.50 and 547,656.75

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Solution

The third proportional to 390,043.50 and 547,656.75 is: 768,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,043.50 : 547,656.75 = 547,656.75 : x
  2. Step 2: Convert to fraction form
    390,043.50/547,656.75 = 547,656.75/x
  3. Step 3: Cross multiply
    390,043.50x = 547,656.75 × 547,656.75
  4. Step 4: Simplify right side
    390,043.50x = 299,927,915,820.56
  5. Step 5: Solve for x
    x = 299,927,915,820.56/390,043.50
  6. Step 6: Final answer
    x = 768,960.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.