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Finding the Third Proportional to 90,586 and 130,476

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Solution

The third proportional to 90,586 and 130,476 is: 187,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,586 : 130,476 = 130,476 : x
  2. Step 2: Convert to fraction form
    90,586/130,476 = 130,476/x
  3. Step 3: Cross multiply
    90,586x = 130,476 × 130,476
  4. Step 4: Simplify right side
    90,586x = 17,023,986,576
  5. Step 5: Solve for x
    x = 17,023,986,576/90,586
  6. Step 6: Final answer
    x = 187,931.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.