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Finding the Third Proportional to 289,352.25 and 634,729.50

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Solution

The third proportional to 289,352.25 and 634,729.50 is: 1,392,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,352.25 : 634,729.50 = 634,729.50 : x
  2. Step 2: Convert to fraction form
    289,352.25/634,729.50 = 634,729.50/x
  3. Step 3: Cross multiply
    289,352.25x = 634,729.50 × 634,729.50
  4. Step 4: Simplify right side
    289,352.25x = 402,881,538,170.25
  5. Step 5: Solve for x
    x = 402,881,538,170.25/289,352.25
  6. Step 6: Final answer
    x = 1,392,356.68

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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.