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Finding the Third Proportional to 115,490 and 240,158

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Solution

The third proportional to 115,490 and 240,158 is: 499,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,490 : 240,158 = 240,158 : x
  2. Step 2: Convert to fraction form
    115,490/240,158 = 240,158/x
  3. Step 3: Cross multiply
    115,490x = 240,158 × 240,158
  4. Step 4: Simplify right side
    115,490x = 57,675,864,964
  5. Step 5: Solve for x
    x = 57,675,864,964/115,490
  6. Step 6: Final answer
    x = 499,401.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.