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Finding the Third Proportional to 286,089 and 432,819

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Solution

The third proportional to 286,089 and 432,819 is: 654,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,089 : 432,819 = 432,819 : x
  2. Step 2: Convert to fraction form
    286,089/432,819 = 432,819/x
  3. Step 3: Cross multiply
    286,089x = 432,819 × 432,819
  4. Step 4: Simplify right side
    286,089x = 187,332,286,761
  5. Step 5: Solve for x
    x = 187,332,286,761/286,089
  6. Step 6: Final answer
    x = 654,804.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.