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Finding the Third Proportional to 147,973 and 319,595

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Solution

The third proportional to 147,973 and 319,595 is: 690,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,973 : 319,595 = 319,595 : x
  2. Step 2: Convert to fraction form
    147,973/319,595 = 319,595/x
  3. Step 3: Cross multiply
    147,973x = 319,595 × 319,595
  4. Step 4: Simplify right side
    147,973x = 102,140,964,025
  5. Step 5: Solve for x
    x = 102,140,964,025/147,973
  6. Step 6: Final answer
    x = 690,267.58

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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.