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Finding the Third Proportional to 288,708 and 643,032

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Solution

The third proportional to 288,708 and 643,032 is: 1,432,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,708 : 643,032 = 643,032 : x
  2. Step 2: Convert to fraction form
    288,708/643,032 = 643,032/x
  3. Step 3: Cross multiply
    288,708x = 643,032 × 643,032
  4. Step 4: Simplify right side
    288,708x = 413,490,153,024
  5. Step 5: Solve for x
    x = 413,490,153,024/288,708
  6. Step 6: Final answer
    x = 1,432,208.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.