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Finding the Third Proportional to 153,590 and 240,418

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Solution

The third proportional to 153,590 and 240,418 is: 376,331.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,590 : 240,418 = 240,418 : x
  2. Step 2: Convert to fraction form
    153,590/240,418 = 240,418/x
  3. Step 3: Cross multiply
    153,590x = 240,418 × 240,418
  4. Step 4: Simplify right side
    153,590x = 57,800,814,724
  5. Step 5: Solve for x
    x = 57,800,814,724/153,590
  6. Step 6: Final answer
    x = 376,331.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.