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Finding the Third Proportional to 443,715.75 and 634,518.38

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Solution

The third proportional to 443,715.75 and 634,518.38 is: 907,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,715.75 : 634,518.38 = 634,518.38 : x
  2. Step 2: Convert to fraction form
    443,715.75/634,518.38 = 634,518.38/x
  3. Step 3: Cross multiply
    443,715.75x = 634,518.38 × 634,518.38
  4. Step 4: Simplify right side
    443,715.75x = 402,613,568,212.64
  5. Step 5: Solve for x
    x = 402,613,568,212.64/443,715.75
  6. Step 6: Final answer
    x = 907,368.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.