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Finding the Third Proportional to 340,906 and 744,020

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Solution

The third proportional to 340,906 and 744,020 is: 1,623,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,906 : 744,020 = 744,020 : x
  2. Step 2: Convert to fraction form
    340,906/744,020 = 744,020/x
  3. Step 3: Cross multiply
    340,906x = 744,020 × 744,020
  4. Step 4: Simplify right side
    340,906x = 553,565,760,400
  5. Step 5: Solve for x
    x = 553,565,760,400/340,906
  6. Step 6: Final answer
    x = 1,623,807.62

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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.