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Finding the Third Proportional to 388,458 and 915,693

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Solution

The third proportional to 388,458 and 915,693 is: 2,158,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,458 : 915,693 = 915,693 : x
  2. Step 2: Convert to fraction form
    388,458/915,693 = 915,693/x
  3. Step 3: Cross multiply
    388,458x = 915,693 × 915,693
  4. Step 4: Simplify right side
    388,458x = 838,493,670,249
  5. Step 5: Solve for x
    x = 838,493,670,249/388,458
  6. Step 6: Final answer
    x = 2,158,518.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.