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Finding the Third Proportional to 294,986 and 643,552

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Solution

The third proportional to 294,986 and 643,552 is: 1,403,996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,986 : 643,552 = 643,552 : x
  2. Step 2: Convert to fraction form
    294,986/643,552 = 643,552/x
  3. Step 3: Cross multiply
    294,986x = 643,552 × 643,552
  4. Step 4: Simplify right side
    294,986x = 414,159,176,704
  5. Step 5: Solve for x
    x = 414,159,176,704/294,986
  6. Step 6: Final answer
    x = 1,403,996.04

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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.