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Finding the Third Proportional to 128,634 and 304,047

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Solution

The third proportional to 128,634 and 304,047 is: 718,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,634 : 304,047 = 304,047 : x
  2. Step 2: Convert to fraction form
    128,634/304,047 = 304,047/x
  3. Step 3: Cross multiply
    128,634x = 304,047 × 304,047
  4. Step 4: Simplify right side
    128,634x = 92,444,578,209
  5. Step 5: Solve for x
    x = 92,444,578,209/128,634
  6. Step 6: Final answer
    x = 718,663.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.