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Finding the Third Proportional to 313,363 and 686,798

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Solution

The third proportional to 313,363 and 686,798 is: 1,505,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,363 : 686,798 = 686,798 : x
  2. Step 2: Convert to fraction form
    313,363/686,798 = 686,798/x
  3. Step 3: Cross multiply
    313,363x = 686,798 × 686,798
  4. Step 4: Simplify right side
    313,363x = 471,691,492,804
  5. Step 5: Solve for x
    x = 471,691,492,804/313,363
  6. Step 6: Final answer
    x = 1,505,255.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.