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Finding the Third Proportional to 616,920 and 1,428,033

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Solution

The third proportional to 616,920 and 1,428,033 is: 3,305,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,920 : 1,428,033 = 1,428,033 : x
  2. Step 2: Convert to fraction form
    616,920/1,428,033 = 1,428,033/x
  3. Step 3: Cross multiply
    616,920x = 1,428,033 × 1,428,033
  4. Step 4: Simplify right side
    616,920x = 2,039,278,249,089
  5. Step 5: Solve for x
    x = 2,039,278,249,089/616,920
  6. Step 6: Final answer
    x = 3,305,579.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.