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Finding the Third Proportional to 130,880 and 201,438

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Solution

The third proportional to 130,880 and 201,438 is: 310,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,880 : 201,438 = 201,438 : x
  2. Step 2: Convert to fraction form
    130,880/201,438 = 201,438/x
  3. Step 3: Cross multiply
    130,880x = 201,438 × 201,438
  4. Step 4: Simplify right side
    130,880x = 40,577,267,844
  5. Step 5: Solve for x
    x = 40,577,267,844/130,880
  6. Step 6: Final answer
    x = 310,034.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.