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Finding the Third Proportional to 777,680 and 1,617,438

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Solution

The third proportional to 777,680 and 1,617,438 is: 3,363,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,680 : 1,617,438 = 1,617,438 : x
  2. Step 2: Convert to fraction form
    777,680/1,617,438 = 1,617,438/x
  3. Step 3: Cross multiply
    777,680x = 1,617,438 × 1,617,438
  4. Step 4: Simplify right side
    777,680x = 2,616,105,683,844
  5. Step 5: Solve for x
    x = 2,616,105,683,844/777,680
  6. Step 6: Final answer
    x = 3,363,987.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.