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Finding the Third Proportional to 528,878 and 771,163

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Solution

The third proportional to 528,878 and 771,163 is: 1,124,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,878 : 771,163 = 771,163 : x
  2. Step 2: Convert to fraction form
    528,878/771,163 = 771,163/x
  3. Step 3: Cross multiply
    528,878x = 771,163 × 771,163
  4. Step 4: Simplify right side
    528,878x = 594,692,372,569
  5. Step 5: Solve for x
    x = 594,692,372,569/528,878
  6. Step 6: Final answer
    x = 1,124,441.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.