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Finding the Third Proportional to 487,996 and 779,190

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Solution

The third proportional to 487,996 and 779,190 is: 1,244,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,996 : 779,190 = 779,190 : x
  2. Step 2: Convert to fraction form
    487,996/779,190 = 779,190/x
  3. Step 3: Cross multiply
    487,996x = 779,190 × 779,190
  4. Step 4: Simplify right side
    487,996x = 607,137,056,100
  5. Step 5: Solve for x
    x = 607,137,056,100/487,996
  6. Step 6: Final answer
    x = 1,244,143.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.