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Finding the Third Proportional to 270,945.84 and 421,926.47

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Solution

The third proportional to 270,945.84 and 421,926.47 is: 657,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,945.84 : 421,926.47 = 421,926.47 : x
  2. Step 2: Convert to fraction form
    270,945.84/421,926.47 = 421,926.47/x
  3. Step 3: Cross multiply
    270,945.84x = 421,926.47 × 421,926.47
  4. Step 4: Simplify right side
    270,945.84x = 178,021,945,031.85
  5. Step 5: Solve for x
    x = 178,021,945,031.85/270,945.84
  6. Step 6: Final answer
    x = 657,038.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.