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Finding the Third Proportional to 301,080 and 649,159.50

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Solution

The third proportional to 301,080 and 649,159.50 is: 1,399,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,080 : 649,159.50 = 649,159.50 : x
  2. Step 2: Convert to fraction form
    301,080/649,159.50 = 649,159.50/x
  3. Step 3: Cross multiply
    301,080x = 649,159.50 × 649,159.50
  4. Step 4: Simplify right side
    301,080x = 421,408,056,440.25
  5. Step 5: Solve for x
    x = 421,408,056,440.25/301,080
  6. Step 6: Final answer
    x = 1,399,654.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.