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Finding the Third Proportional to 646,218 and 1,358,565.75

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Solution

The third proportional to 646,218 and 1,358,565.75 is: 2,856,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,218 : 1,358,565.75 = 1,358,565.75 : x
  2. Step 2: Convert to fraction form
    646,218/1,358,565.75 = 1,358,565.75/x
  3. Step 3: Cross multiply
    646,218x = 1,358,565.75 × 1,358,565.75
  4. Step 4: Simplify right side
    646,218x = 1,845,700,897,073.06
  5. Step 5: Solve for x
    x = 1,845,700,897,073.06/646,218
  6. Step 6: Final answer
    x = 2,856,158.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.