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Finding the Third Proportional to 539,277.75 and 838,486.69

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Solution

The third proportional to 539,277.75 and 838,486.69 is: 1,303,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,277.75 : 838,486.69 = 838,486.69 : x
  2. Step 2: Convert to fraction form
    539,277.75/838,486.69 = 838,486.69/x
  3. Step 3: Cross multiply
    539,277.75x = 838,486.69 × 838,486.69
  4. Step 4: Simplify right side
    539,277.75x = 703,059,925,114.72
  5. Step 5: Solve for x
    x = 703,059,925,114.72/539,277.75
  6. Step 6: Final answer
    x = 1,303,706.53

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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.