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Finding the Third Proportional to 407,179 and 634,037

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Solution

The third proportional to 407,179 and 634,037 is: 987,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,179 : 634,037 = 634,037 : x
  2. Step 2: Convert to fraction form
    407,179/634,037 = 634,037/x
  3. Step 3: Cross multiply
    407,179x = 634,037 × 634,037
  4. Step 4: Simplify right side
    407,179x = 402,002,917,369
  5. Step 5: Solve for x
    x = 402,002,917,369/407,179
  6. Step 6: Final answer
    x = 987,287.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.