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Finding the Third Proportional to 315,513 and 681,894

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Solution

The third proportional to 315,513 and 681,894 is: 1,473,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,513 : 681,894 = 681,894 : x
  2. Step 2: Convert to fraction form
    315,513/681,894 = 681,894/x
  3. Step 3: Cross multiply
    315,513x = 681,894 × 681,894
  4. Step 4: Simplify right side
    315,513x = 464,979,427,236
  5. Step 5: Solve for x
    x = 464,979,427,236/315,513
  6. Step 6: Final answer
    x = 1,473,725.10

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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.