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Finding the Third Proportional to 559,284 and 872,055

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Solution

The third proportional to 559,284 and 872,055 is: 1,359,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,284 : 872,055 = 872,055 : x
  2. Step 2: Convert to fraction form
    559,284/872,055 = 872,055/x
  3. Step 3: Cross multiply
    559,284x = 872,055 × 872,055
  4. Step 4: Simplify right side
    559,284x = 760,479,923,025
  5. Step 5: Solve for x
    x = 760,479,923,025/559,284
  6. Step 6: Final answer
    x = 1,359,738.39

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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.