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Finding the Third Proportional to 407,169 and 634,020

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Solution

The third proportional to 407,169 and 634,020 is: 987,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,169 : 634,020 = 634,020 : x
  2. Step 2: Convert to fraction form
    407,169/634,020 = 634,020/x
  3. Step 3: Cross multiply
    407,169x = 634,020 × 634,020
  4. Step 4: Simplify right side
    407,169x = 401,981,360,400
  5. Step 5: Solve for x
    x = 401,981,360,400/407,169
  6. Step 6: Final answer
    x = 987,259.25

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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.