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Finding the Third Proportional to 312,246 and 681,066

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Solution

The third proportional to 312,246 and 681,066 is: 1,485,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,246 : 681,066 = 681,066 : x
  2. Step 2: Convert to fraction form
    312,246/681,066 = 681,066/x
  3. Step 3: Cross multiply
    312,246x = 681,066 × 681,066
  4. Step 4: Simplify right side
    312,246x = 463,850,896,356
  5. Step 5: Solve for x
    x = 463,850,896,356/312,246
  6. Step 6: Final answer
    x = 1,485,530.31

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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.