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Finding the Third Proportional to 328,236 and 772,798

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Solution

The third proportional to 328,236 and 772,798 is: 1,819,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,236 : 772,798 = 772,798 : x
  2. Step 2: Convert to fraction form
    328,236/772,798 = 772,798/x
  3. Step 3: Cross multiply
    328,236x = 772,798 × 772,798
  4. Step 4: Simplify right side
    328,236x = 597,216,748,804
  5. Step 5: Solve for x
    x = 597,216,748,804/328,236
  6. Step 6: Final answer
    x = 1,819,473.64

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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.