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Finding the Third Proportional to 313,904 and 686,490

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Solution

The third proportional to 313,904 and 686,490 is: 1,501,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,904 : 686,490 = 686,490 : x
  2. Step 2: Convert to fraction form
    313,904/686,490 = 686,490/x
  3. Step 3: Cross multiply
    313,904x = 686,490 × 686,490
  4. Step 4: Simplify right side
    313,904x = 471,268,520,100
  5. Step 5: Solve for x
    x = 471,268,520,100/313,904
  6. Step 6: Final answer
    x = 1,501,314.16

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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.