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Finding the Third Proportional to 450,078.19 and 977,428.69

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Solution

The third proportional to 450,078.19 and 977,428.69 is: 2,122,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,078.19 : 977,428.69 = 977,428.69 : x
  2. Step 2: Convert to fraction form
    450,078.19/977,428.69 = 977,428.69/x
  3. Step 3: Cross multiply
    450,078.19x = 977,428.69 × 977,428.69
  4. Step 4: Simplify right side
    450,078.19x = 955,366,839,147.97
  5. Step 5: Solve for x
    x = 955,366,839,147.97/450,078.19
  6. Step 6: Final answer
    x = 2,122,668.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.