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Finding the Third Proportional to 387,639 and 822,244.50

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Solution

The third proportional to 387,639 and 822,244.50 is: 1,744,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,639 : 822,244.50 = 822,244.50 : x
  2. Step 2: Convert to fraction form
    387,639/822,244.50 = 822,244.50/x
  3. Step 3: Cross multiply
    387,639x = 822,244.50 × 822,244.50
  4. Step 4: Simplify right side
    387,639x = 676,086,017,780.25
  5. Step 5: Solve for x
    x = 676,086,017,780.25/387,639
  6. Step 6: Final answer
    x = 1,744,112.48

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