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Finding the Third Proportional to 148,133 and 319,538

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Solution

The third proportional to 148,133 and 319,538 is: 689,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,133 : 319,538 = 319,538 : x
  2. Step 2: Convert to fraction form
    148,133/319,538 = 319,538/x
  3. Step 3: Cross multiply
    148,133x = 319,538 × 319,538
  4. Step 4: Simplify right side
    148,133x = 102,104,533,444
  5. Step 5: Solve for x
    x = 102,104,533,444/148,133
  6. Step 6: Final answer
    x = 689,276.08

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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.