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Finding the Third Proportional to 321,877.50 and 692,841

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Solution

The third proportional to 321,877.50 and 692,841 is: 1,491,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,877.50 : 692,841 = 692,841 : x
  2. Step 2: Convert to fraction form
    321,877.50/692,841 = 692,841/x
  3. Step 3: Cross multiply
    321,877.50x = 692,841 × 692,841
  4. Step 4: Simplify right side
    321,877.50x = 480,028,651,281
  5. Step 5: Solve for x
    x = 480,028,651,281/321,877.50
  6. Step 6: Final answer
    x = 1,491,339.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.