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Finding the Third Proportional to 130,799 and 202,490

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Solution

The third proportional to 130,799 and 202,490 is: 313,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,799 : 202,490 = 202,490 : x
  2. Step 2: Convert to fraction form
    130,799/202,490 = 202,490/x
  3. Step 3: Cross multiply
    130,799x = 202,490 × 202,490
  4. Step 4: Simplify right side
    130,799x = 41,002,200,100
  5. Step 5: Solve for x
    x = 41,002,200,100/130,799
  6. Step 6: Final answer
    x = 313,474.87

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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.