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Finding the Third Proportional to 294,972 and 643,523

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Solution

The third proportional to 294,972 and 643,523 is: 1,403,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,972 : 643,523 = 643,523 : x
  2. Step 2: Convert to fraction form
    294,972/643,523 = 643,523/x
  3. Step 3: Cross multiply
    294,972x = 643,523 × 643,523
  4. Step 4: Simplify right side
    294,972x = 414,121,851,529
  5. Step 5: Solve for x
    x = 414,121,851,529/294,972
  6. Step 6: Final answer
    x = 1,403,936.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.