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Finding the Third Proportional to 294,700 and 643,380

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Solution

The third proportional to 294,700 and 643,380 is: 1,404,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,700 : 643,380 = 643,380 : x
  2. Step 2: Convert to fraction form
    294,700/643,380 = 643,380/x
  3. Step 3: Cross multiply
    294,700x = 643,380 × 643,380
  4. Step 4: Simplify right side
    294,700x = 413,937,824,400
  5. Step 5: Solve for x
    x = 413,937,824,400/294,700
  6. Step 6: Final answer
    x = 1,404,607.48

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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.