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Finding the Third Proportional to 328,216 and 772,750

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Solution

The third proportional to 328,216 and 772,750 is: 1,819,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,216 : 772,750 = 772,750 : x
  2. Step 2: Convert to fraction form
    328,216/772,750 = 772,750/x
  3. Step 3: Cross multiply
    328,216x = 772,750 × 772,750
  4. Step 4: Simplify right side
    328,216x = 597,142,562,500
  5. Step 5: Solve for x
    x = 597,142,562,500/328,216
  6. Step 6: Final answer
    x = 1,819,358.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.