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Finding the Third Proportional to 630,699.75 and 978,445.13

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Solution

The third proportional to 630,699.75 and 978,445.13 is: 1,517,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,699.75 : 978,445.13 = 978,445.13 : x
  2. Step 2: Convert to fraction form
    630,699.75/978,445.13 = 978,445.13/x
  3. Step 3: Cross multiply
    630,699.75x = 978,445.13 × 978,445.13
  4. Step 4: Simplify right side
    630,699.75x = 957,354,862,636.27
  5. Step 5: Solve for x
    x = 957,354,862,636.27/630,699.75
  6. Step 6: Final answer
    x = 1,517,924.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.