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Finding the Third Proportional to 608,940 and 865,503

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Solution

The third proportional to 608,940 and 865,503 is: 1,230,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,940 : 865,503 = 865,503 : x
  2. Step 2: Convert to fraction form
    608,940/865,503 = 865,503/x
  3. Step 3: Cross multiply
    608,940x = 865,503 × 865,503
  4. Step 4: Simplify right side
    608,940x = 749,095,443,009
  5. Step 5: Solve for x
    x = 749,095,443,009/608,940
  6. Step 6: Final answer
    x = 1,230,162.98

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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.