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Finding the Third Proportional to 407,178 and 634,033

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Solution

The third proportional to 407,178 and 634,033 is: 987,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,178 : 634,033 = 634,033 : x
  2. Step 2: Convert to fraction form
    407,178/634,033 = 634,033/x
  3. Step 3: Cross multiply
    407,178x = 634,033 × 634,033
  4. Step 4: Simplify right side
    407,178x = 401,997,845,089
  5. Step 5: Solve for x
    x = 401,997,845,089/407,178
  6. Step 6: Final answer
    x = 987,277.91

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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.