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Finding the Third Proportional to 202,708 and 317,987.50

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Solution

The third proportional to 202,708 and 317,987.50 is: 498,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,708 : 317,987.50 = 317,987.50 : x
  2. Step 2: Convert to fraction form
    202,708/317,987.50 = 317,987.50/x
  3. Step 3: Cross multiply
    202,708x = 317,987.50 × 317,987.50
  4. Step 4: Simplify right side
    202,708x = 101,116,050,156.25
  5. Step 5: Solve for x
    x = 101,116,050,156.25/202,708
  6. Step 6: Final answer
    x = 498,826.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.