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Finding the Third Proportional to 87,298 and 130,803

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Solution

The third proportional to 87,298 and 130,803 is: 195,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,298 : 130,803 = 130,803 : x
  2. Step 2: Convert to fraction form
    87,298/130,803 = 130,803/x
  3. Step 3: Cross multiply
    87,298x = 130,803 × 130,803
  4. Step 4: Simplify right side
    87,298x = 17,109,424,809
  5. Step 5: Solve for x
    x = 17,109,424,809/87,298
  6. Step 6: Final answer
    x = 195,988.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.