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Finding the Third Proportional to 134,428 and 293,311

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Solution

The third proportional to 134,428 and 293,311 is: 639,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,428 : 293,311 = 293,311 : x
  2. Step 2: Convert to fraction form
    134,428/293,311 = 293,311/x
  3. Step 3: Cross multiply
    134,428x = 293,311 × 293,311
  4. Step 4: Simplify right side
    134,428x = 86,031,342,721
  5. Step 5: Solve for x
    x = 86,031,342,721/134,428
  6. Step 6: Final answer
    x = 639,980.83

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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.