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Finding the Third Proportional to 149,339 and 322,428

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Solution

The third proportional to 149,339 and 322,428 is: 696,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,339 : 322,428 = 322,428 : x
  2. Step 2: Convert to fraction form
    149,339/322,428 = 322,428/x
  3. Step 3: Cross multiply
    149,339x = 322,428 × 322,428
  4. Step 4: Simplify right side
    149,339x = 103,959,815,184
  5. Step 5: Solve for x
    x = 103,959,815,184/149,339
  6. Step 6: Final answer
    x = 696,133.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.