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Finding the Third Proportional to 319,754 and 690,740

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Solution

The third proportional to 319,754 and 690,740 is: 1,492,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,754 : 690,740 = 690,740 : x
  2. Step 2: Convert to fraction form
    319,754/690,740 = 690,740/x
  3. Step 3: Cross multiply
    319,754x = 690,740 × 690,740
  4. Step 4: Simplify right side
    319,754x = 477,121,747,600
  5. Step 5: Solve for x
    x = 477,121,747,600/319,754
  6. Step 6: Final answer
    x = 1,492,152.55

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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.