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Finding the Third Proportional to 398,130 and 866,240

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Solution

The third proportional to 398,130 and 866,240 is: 1,884,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,130 : 866,240 = 866,240 : x
  2. Step 2: Convert to fraction form
    398,130/866,240 = 866,240/x
  3. Step 3: Cross multiply
    398,130x = 866,240 × 866,240
  4. Step 4: Simplify right side
    398,130x = 750,371,737,600
  5. Step 5: Solve for x
    x = 750,371,737,600/398,130
  6. Step 6: Final answer
    x = 1,884,740.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.