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Finding the Third Proportional to 528,612 and 818,838

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Solution

The third proportional to 528,612 and 818,838 is: 1,268,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,612 : 818,838 = 818,838 : x
  2. Step 2: Convert to fraction form
    528,612/818,838 = 818,838/x
  3. Step 3: Cross multiply
    528,612x = 818,838 × 818,838
  4. Step 4: Simplify right side
    528,612x = 670,495,670,244
  5. Step 5: Solve for x
    x = 670,495,670,244/528,612
  6. Step 6: Final answer
    x = 1,268,407.96

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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.