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Finding the Third Proportional to 286,032 and 420,786

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Solution

The third proportional to 286,032 and 420,786 is: 619,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,032 : 420,786 = 420,786 : x
  2. Step 2: Convert to fraction form
    286,032/420,786 = 420,786/x
  3. Step 3: Cross multiply
    286,032x = 420,786 × 420,786
  4. Step 4: Simplify right side
    286,032x = 177,060,857,796
  5. Step 5: Solve for x
    x = 177,060,857,796/286,032
  6. Step 6: Final answer
    x = 619,024.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.