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Finding the Third Proportional to 813,024 and 1,207,746

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Solution

The third proportional to 813,024 and 1,207,746 is: 1,794,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,024 : 1,207,746 = 1,207,746 : x
  2. Step 2: Convert to fraction form
    813,024/1,207,746 = 1,207,746/x
  3. Step 3: Cross multiply
    813,024x = 1,207,746 × 1,207,746
  4. Step 4: Simplify right side
    813,024x = 1,458,650,400,516
  5. Step 5: Solve for x
    x = 1,458,650,400,516/813,024
  6. Step 6: Final answer
    x = 1,794,104.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.