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Finding the Third Proportional to 140,319 and 307,806.75

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Solution

The third proportional to 140,319 and 307,806.75 is: 675,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,319 : 307,806.75 = 307,806.75 : x
  2. Step 2: Convert to fraction form
    140,319/307,806.75 = 307,806.75/x
  3. Step 3: Cross multiply
    140,319x = 307,806.75 × 307,806.75
  4. Step 4: Simplify right side
    140,319x = 94,744,995,345.56
  5. Step 5: Solve for x
    x = 94,744,995,345.56/140,319
  6. Step 6: Final answer
    x = 675,211.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.