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Finding the Third Proportional to 147,984 and 319,296

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Solution

The third proportional to 147,984 and 319,296 is: 688,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,984 : 319,296 = 319,296 : x
  2. Step 2: Convert to fraction form
    147,984/319,296 = 319,296/x
  3. Step 3: Cross multiply
    147,984x = 319,296 × 319,296
  4. Step 4: Simplify right side
    147,984x = 101,949,935,616
  5. Step 5: Solve for x
    x = 101,949,935,616/147,984
  6. Step 6: Final answer
    x = 688,925.39

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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.