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Finding the Third Proportional to 202,707 and 317,985.75

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Solution

The third proportional to 202,707 and 317,985.75 is: 498,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,707 : 317,985.75 = 317,985.75 : x
  2. Step 2: Convert to fraction form
    202,707/317,985.75 = 317,985.75/x
  3. Step 3: Cross multiply
    202,707x = 317,985.75 × 317,985.75
  4. Step 4: Simplify right side
    202,707x = 101,114,937,203.06
  5. Step 5: Solve for x
    x = 101,114,937,203.06/202,707
  6. Step 6: Final answer
    x = 498,823.12

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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.