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Finding the Third Proportional to 398,498 and 859,968

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Solution

The third proportional to 398,498 and 859,968 is: 1,855,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,498 : 859,968 = 859,968 : x
  2. Step 2: Convert to fraction form
    398,498/859,968 = 859,968/x
  3. Step 3: Cross multiply
    398,498x = 859,968 × 859,968
  4. Step 4: Simplify right side
    398,498x = 739,544,961,024
  5. Step 5: Solve for x
    x = 739,544,961,024/398,498
  6. Step 6: Final answer
    x = 1,855,831.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.