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Finding the Third Proportional to 294,020 and 644,080

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Solution

The third proportional to 294,020 and 644,080 is: 1,410,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,020 : 644,080 = 644,080 : x
  2. Step 2: Convert to fraction form
    294,020/644,080 = 644,080/x
  3. Step 3: Cross multiply
    294,020x = 644,080 × 644,080
  4. Step 4: Simplify right side
    294,020x = 414,839,046,400
  5. Step 5: Solve for x
    x = 414,839,046,400/294,020
  6. Step 6: Final answer
    x = 1,410,921.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.