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Finding the Third Proportional to 304,454 and 432,739

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Solution

The third proportional to 304,454 and 432,739 is: 615,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,454 : 432,739 = 432,739 : x
  2. Step 2: Convert to fraction form
    304,454/432,739 = 432,739/x
  3. Step 3: Cross multiply
    304,454x = 432,739 × 432,739
  4. Step 4: Simplify right side
    304,454x = 187,263,042,121
  5. Step 5: Solve for x
    x = 187,263,042,121/304,454
  6. Step 6: Final answer
    x = 615,078.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.