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Finding the Third Proportional to 147,217 and 319,328

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Solution

The third proportional to 147,217 and 319,328 is: 692,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,217 : 319,328 = 319,328 : x
  2. Step 2: Convert to fraction form
    147,217/319,328 = 319,328/x
  3. Step 3: Cross multiply
    147,217x = 319,328 × 319,328
  4. Step 4: Simplify right side
    147,217x = 101,970,371,584
  5. Step 5: Solve for x
    x = 101,970,371,584/147,217
  6. Step 6: Final answer
    x = 692,653.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.