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Finding the Third Proportional to 288,712 and 643,040

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Solution

The third proportional to 288,712 and 643,040 is: 1,432,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,712 : 643,040 = 643,040 : x
  2. Step 2: Convert to fraction form
    288,712/643,040 = 643,040/x
  3. Step 3: Cross multiply
    288,712x = 643,040 × 643,040
  4. Step 4: Simplify right side
    288,712x = 413,500,441,600
  5. Step 5: Solve for x
    x = 413,500,441,600/288,712
  6. Step 6: Final answer
    x = 1,432,224.64

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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.