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Finding the Third Proportional to 145,207.50 and 312,666

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Solution

The third proportional to 145,207.50 and 312,666 is: 673,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,207.50 : 312,666 = 312,666 : x
  2. Step 2: Convert to fraction form
    145,207.50/312,666 = 312,666/x
  3. Step 3: Cross multiply
    145,207.50x = 312,666 × 312,666
  4. Step 4: Simplify right side
    145,207.50x = 97,760,027,556
  5. Step 5: Solve for x
    x = 97,760,027,556/145,207.50
  6. Step 6: Final answer
    x = 673,243.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.