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Finding the Third Proportional to 317,428.88 and 692,691.75

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Solution

The third proportional to 317,428.88 and 692,691.75 is: 1,511,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,428.88 : 692,691.75 = 692,691.75 : x
  2. Step 2: Convert to fraction form
    317,428.88/692,691.75 = 692,691.75/x
  3. Step 3: Cross multiply
    317,428.88x = 692,691.75 × 692,691.75
  4. Step 4: Simplify right side
    317,428.88x = 479,821,860,518.06
  5. Step 5: Solve for x
    x = 479,821,860,518.06/317,428.88
  6. Step 6: Final answer
    x = 1,511,588.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.