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Finding the Third Proportional to 289,371.75 and 634,770

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Solution

The third proportional to 289,371.75 and 634,770 is: 1,392,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,371.75 : 634,770 = 634,770 : x
  2. Step 2: Convert to fraction form
    289,371.75/634,770 = 634,770/x
  3. Step 3: Cross multiply
    289,371.75x = 634,770 × 634,770
  4. Step 4: Simplify right side
    289,371.75x = 402,932,952,900
  5. Step 5: Solve for x
    x = 402,932,952,900/289,371.75
  6. Step 6: Final answer
    x = 1,392,440.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.