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Finding the Third Proportional to 551,101 and 780,022

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Solution

The third proportional to 551,101 and 780,022 is: 1,104,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,101 : 780,022 = 780,022 : x
  2. Step 2: Convert to fraction form
    551,101/780,022 = 780,022/x
  3. Step 3: Cross multiply
    551,101x = 780,022 × 780,022
  4. Step 4: Simplify right side
    551,101x = 608,434,320,484
  5. Step 5: Solve for x
    x = 608,434,320,484/551,101
  6. Step 6: Final answer
    x = 1,104,034.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.