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Finding the Third Proportional to 454,776.75 and 990,235.13

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Solution

The third proportional to 454,776.75 and 990,235.13 is: 2,156,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,776.75 : 990,235.13 = 990,235.13 : x
  2. Step 2: Convert to fraction form
    454,776.75/990,235.13 = 990,235.13/x
  3. Step 3: Cross multiply
    454,776.75x = 990,235.13 × 990,235.13
  4. Step 4: Simplify right side
    454,776.75x = 980,565,602,783.77
  5. Step 5: Solve for x
    x = 980,565,602,783.77/454,776.75
  6. Step 6: Final answer
    x = 2,156,147.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.