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Finding the Third Proportional to 304,830 and 474,689

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Solution

The third proportional to 304,830 and 474,689 is: 739,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,830 : 474,689 = 474,689 : x
  2. Step 2: Convert to fraction form
    304,830/474,689 = 474,689/x
  3. Step 3: Cross multiply
    304,830x = 474,689 × 474,689
  4. Step 4: Simplify right side
    304,830x = 225,329,646,721
  5. Step 5: Solve for x
    x = 225,329,646,721/304,830
  6. Step 6: Final answer
    x = 739,197.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.