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Finding the Third Proportional to 776,304 and 1,645,920

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Solution

The third proportional to 776,304 and 1,645,920 is: 3,489,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,304 : 1,645,920 = 1,645,920 : x
  2. Step 2: Convert to fraction form
    776,304/1,645,920 = 1,645,920/x
  3. Step 3: Cross multiply
    776,304x = 1,645,920 × 1,645,920
  4. Step 4: Simplify right side
    776,304x = 2,709,052,646,400
  5. Step 5: Solve for x
    x = 2,709,052,646,400/776,304
  6. Step 6: Final answer
    x = 3,489,680.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.