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Finding the Third Proportional to 608,780 and 865,323

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Solution

The third proportional to 608,780 and 865,323 is: 1,229,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,780 : 865,323 = 865,323 : x
  2. Step 2: Convert to fraction form
    608,780/865,323 = 865,323/x
  3. Step 3: Cross multiply
    608,780x = 865,323 × 865,323
  4. Step 4: Simplify right side
    608,780x = 748,783,894,329
  5. Step 5: Solve for x
    x = 748,783,894,329/608,780
  6. Step 6: Final answer
    x = 1,229,974.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.