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Finding the Third Proportional to 288,720 and 643,056

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Solution

The third proportional to 288,720 and 643,056 is: 1,432,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,720 : 643,056 = 643,056 : x
  2. Step 2: Convert to fraction form
    288,720/643,056 = 643,056/x
  3. Step 3: Cross multiply
    288,720x = 643,056 × 643,056
  4. Step 4: Simplify right side
    288,720x = 413,521,019,136
  5. Step 5: Solve for x
    x = 413,521,019,136/288,720
  6. Step 6: Final answer
    x = 1,432,256.23

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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.