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Finding the Third Proportional to 282,434 and 432,669

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Solution

The third proportional to 282,434 and 432,669 is: 662,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,434 : 432,669 = 432,669 : x
  2. Step 2: Convert to fraction form
    282,434/432,669 = 432,669/x
  3. Step 3: Cross multiply
    282,434x = 432,669 × 432,669
  4. Step 4: Simplify right side
    282,434x = 187,202,463,561
  5. Step 5: Solve for x
    x = 187,202,463,561/282,434
  6. Step 6: Final answer
    x = 662,818.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.