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Finding the Third Proportional to 388,972 and 859,592

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Solution

The third proportional to 388,972 and 859,592 is: 1,899,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,972 : 859,592 = 859,592 : x
  2. Step 2: Convert to fraction form
    388,972/859,592 = 859,592/x
  3. Step 3: Cross multiply
    388,972x = 859,592 × 859,592
  4. Step 4: Simplify right side
    388,972x = 738,898,406,464
  5. Step 5: Solve for x
    x = 738,898,406,464/388,972
  6. Step 6: Final answer
    x = 1,899,618.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.