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Finding the Third Proportional to 130,788 and 185,115

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Solution

The third proportional to 130,788 and 185,115 is: 262,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,788 : 185,115 = 185,115 : x
  2. Step 2: Convert to fraction form
    130,788/185,115 = 185,115/x
  3. Step 3: Cross multiply
    130,788x = 185,115 × 185,115
  4. Step 4: Simplify right side
    130,788x = 34,267,563,225
  5. Step 5: Solve for x
    x = 34,267,563,225/130,788
  6. Step 6: Final answer
    x = 262,008.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.