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Finding the Third Proportional to 279,726.75 and 433,927.13

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Solution

The third proportional to 279,726.75 and 433,927.13 is: 673,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,726.75 : 433,927.13 = 433,927.13 : x
  2. Step 2: Convert to fraction form
    279,726.75/433,927.13 = 433,927.13/x
  3. Step 3: Cross multiply
    279,726.75x = 433,927.13 × 433,927.13
  4. Step 4: Simplify right side
    279,726.75x = 188,292,749,810.77
  5. Step 5: Solve for x
    x = 188,292,749,810.77/279,726.75
  6. Step 6: Final answer
    x = 673,131.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.