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Finding the Third Proportional to 145,179.75 and 221,460.25

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Solution

The third proportional to 145,179.75 and 221,460.25 is: 337,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,179.75 : 221,460.25 = 221,460.25 : x
  2. Step 2: Convert to fraction form
    145,179.75/221,460.25 = 221,460.25/x
  3. Step 3: Cross multiply
    145,179.75x = 221,460.25 × 221,460.25
  4. Step 4: Simplify right side
    145,179.75x = 49,044,642,330.06
  5. Step 5: Solve for x
    x = 49,044,642,330.06/145,179.75
  6. Step 6: Final answer
    x = 337,820.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.