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Finding the Third Proportional to 346,778 and 745,288

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Solution

The third proportional to 346,778 and 745,288 is: 1,601,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,778 : 745,288 = 745,288 : x
  2. Step 2: Convert to fraction form
    346,778/745,288 = 745,288/x
  3. Step 3: Cross multiply
    346,778x = 745,288 × 745,288
  4. Step 4: Simplify right side
    346,778x = 555,454,202,944
  5. Step 5: Solve for x
    x = 555,454,202,944/346,778
  6. Step 6: Final answer
    x = 1,601,757.33

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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.