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Finding the Third Proportional to 346,768 and 745,268

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Solution

The third proportional to 346,768 and 745,268 is: 1,601,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,768 : 745,268 = 745,268 : x
  2. Step 2: Convert to fraction form
    346,768/745,268 = 745,268/x
  3. Step 3: Cross multiply
    346,768x = 745,268 × 745,268
  4. Step 4: Simplify right side
    346,768x = 555,424,391,824
  5. Step 5: Solve for x
    x = 555,424,391,824/346,768
  6. Step 6: Final answer
    x = 1,601,717.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.