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Finding the Third Proportional to 340,065 and 742,448

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Solution

The third proportional to 340,065 and 742,448 is: 1,620,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,065 : 742,448 = 742,448 : x
  2. Step 2: Convert to fraction form
    340,065/742,448 = 742,448/x
  3. Step 3: Cross multiply
    340,065x = 742,448 × 742,448
  4. Step 4: Simplify right side
    340,065x = 551,229,032,704
  5. Step 5: Solve for x
    x = 551,229,032,704/340,065
  6. Step 6: Final answer
    x = 1,620,951.97

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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.