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Finding the Third Proportional to 145,076.06 and 221,780.53

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Solution

The third proportional to 145,076.06 and 221,780.53 is: 339,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,076.06 : 221,780.53 = 221,780.53 : x
  2. Step 2: Convert to fraction form
    145,076.06/221,780.53 = 221,780.53/x
  3. Step 3: Cross multiply
    145,076.06x = 221,780.53 × 221,780.53
  4. Step 4: Simplify right side
    145,076.06x = 49,186,604,041.53
  5. Step 5: Solve for x
    x = 49,186,604,041.53/145,076.06
  6. Step 6: Final answer
    x = 339,040.11

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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.