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Finding the Third Proportional to 148,172 and 319,507

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Solution

The third proportional to 148,172 and 319,507 is: 688,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,172 : 319,507 = 319,507 : x
  2. Step 2: Convert to fraction form
    148,172/319,507 = 319,507/x
  3. Step 3: Cross multiply
    148,172x = 319,507 × 319,507
  4. Step 4: Simplify right side
    148,172x = 102,084,723,049
  5. Step 5: Solve for x
    x = 102,084,723,049/148,172
  6. Step 6: Final answer
    x = 688,960.96

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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.