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Finding the Third Proportional to 202,140 and 313,870

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Solution

The third proportional to 202,140 and 313,870 is: 487,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,140 : 313,870 = 313,870 : x
  2. Step 2: Convert to fraction form
    202,140/313,870 = 313,870/x
  3. Step 3: Cross multiply
    202,140x = 313,870 × 313,870
  4. Step 4: Simplify right side
    202,140x = 98,514,376,900
  5. Step 5: Solve for x
    x = 98,514,376,900/202,140
  6. Step 6: Final answer
    x = 487,357.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.