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Finding the Third Proportional to 388,397.53 and 830,766.38

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Solution

The third proportional to 388,397.53 and 830,766.38 is: 1,776,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,397.53 : 830,766.38 = 830,766.38 : x
  2. Step 2: Convert to fraction form
    388,397.53/830,766.38 = 830,766.38/x
  3. Step 3: Cross multiply
    388,397.53x = 830,766.38 × 830,766.38
  4. Step 4: Simplify right side
    388,397.53x = 690,172,769,830.64
  5. Step 5: Solve for x
    x = 690,172,769,830.64/388,397.53
  6. Step 6: Final answer
    x = 1,776,975.17

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Why These Related Problems?

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