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Finding the Third Proportional to 528,851 and 771,123

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Solution

The third proportional to 528,851 and 771,123 is: 1,124,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,851 : 771,123 = 771,123 : x
  2. Step 2: Convert to fraction form
    528,851/771,123 = 771,123/x
  3. Step 3: Cross multiply
    528,851x = 771,123 × 771,123
  4. Step 4: Simplify right side
    528,851x = 594,630,681,129
  5. Step 5: Solve for x
    x = 594,630,681,129/528,851
  6. Step 6: Final answer
    x = 1,124,382.26

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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.