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Finding the Third Proportional to 485,570.25 and 990,416.25

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Solution

The third proportional to 485,570.25 and 990,416.25 is: 2,020,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,570.25 : 990,416.25 = 990,416.25 : x
  2. Step 2: Convert to fraction form
    485,570.25/990,416.25 = 990,416.25/x
  3. Step 3: Cross multiply
    485,570.25x = 990,416.25 × 990,416.25
  4. Step 4: Simplify right side
    485,570.25x = 980,924,348,264.06
  5. Step 5: Solve for x
    x = 980,924,348,264.06/485,570.25
  6. Step 6: Final answer
    x = 2,020,149.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.