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Finding the Third Proportional to 289,374.75 and 634,776

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Solution

The third proportional to 289,374.75 and 634,776 is: 1,392,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,374.75 : 634,776 = 634,776 : x
  2. Step 2: Convert to fraction form
    289,374.75/634,776 = 634,776/x
  3. Step 3: Cross multiply
    289,374.75x = 634,776 × 634,776
  4. Step 4: Simplify right side
    289,374.75x = 402,940,570,176
  5. Step 5: Solve for x
    x = 402,940,570,176/289,374.75
  6. Step 6: Final answer
    x = 1,392,452.42

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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.