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Finding the Third Proportional to 492,718 and 686,480

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Solution

The third proportional to 492,718 and 686,480 is: 956,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,718 : 686,480 = 686,480 : x
  2. Step 2: Convert to fraction form
    492,718/686,480 = 686,480/x
  3. Step 3: Cross multiply
    492,718x = 686,480 × 686,480
  4. Step 4: Simplify right side
    492,718x = 471,254,790,400
  5. Step 5: Solve for x
    x = 471,254,790,400/492,718
  6. Step 6: Final answer
    x = 956,439.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.