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Finding the Third Proportional to 153,592 and 240,421

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Solution

The third proportional to 153,592 and 240,421 is: 376,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,592 : 240,421 = 240,421 : x
  2. Step 2: Convert to fraction form
    153,592/240,421 = 240,421/x
  3. Step 3: Cross multiply
    153,592x = 240,421 × 240,421
  4. Step 4: Simplify right side
    153,592x = 57,802,257,241
  5. Step 5: Solve for x
    x = 57,802,257,241/153,592
  6. Step 6: Final answer
    x = 376,336.38

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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.