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Finding the Third Proportional to 286,680 and 634,460

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Solution

The third proportional to 286,680 and 634,460 is: 1,404,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,680 : 634,460 = 634,460 : x
  2. Step 2: Convert to fraction form
    286,680/634,460 = 634,460/x
  3. Step 3: Cross multiply
    286,680x = 634,460 × 634,460
  4. Step 4: Simplify right side
    286,680x = 402,539,491,600
  5. Step 5: Solve for x
    x = 402,539,491,600/286,680
  6. Step 6: Final answer
    x = 1,404,142.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.