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Finding the Third Proportional to 152,946 and 328,042

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Solution

The third proportional to 152,946 and 328,042 is: 703,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,946 : 328,042 = 328,042 : x
  2. Step 2: Convert to fraction form
    152,946/328,042 = 328,042/x
  3. Step 3: Cross multiply
    152,946x = 328,042 × 328,042
  4. Step 4: Simplify right side
    152,946x = 107,611,553,764
  5. Step 5: Solve for x
    x = 107,611,553,764/152,946
  6. Step 6: Final answer
    x = 703,591.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.