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Finding the Third Proportional to 404,458.31 and 634,457.81

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Solution

The third proportional to 404,458.31 and 634,457.81 is: 995,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,458.31 : 634,457.81 = 634,457.81 : x
  2. Step 2: Convert to fraction form
    404,458.31/634,457.81 = 634,457.81/x
  3. Step 3: Cross multiply
    404,458.31x = 634,457.81 × 634,457.81
  4. Step 4: Simplify right side
    404,458.31x = 402,536,715,842.29
  5. Step 5: Solve for x
    x = 402,536,715,842.29/404,458.31
  6. Step 6: Final answer
    x = 995,248.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.