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Finding the Third Proportional to 528,861 and 771,138

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Solution

The third proportional to 528,861 and 771,138 is: 1,124,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,861 : 771,138 = 771,138 : x
  2. Step 2: Convert to fraction form
    528,861/771,138 = 771,138/x
  3. Step 3: Cross multiply
    528,861x = 771,138 × 771,138
  4. Step 4: Simplify right side
    528,861x = 594,653,815,044
  5. Step 5: Solve for x
    x = 594,653,815,044/528,861
  6. Step 6: Final answer
    x = 1,124,404.74

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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.