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Finding the Third Proportional to 135,487 and 297,787

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Solution

The third proportional to 135,487 and 297,787 is: 654,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,487 : 297,787 = 297,787 : x
  2. Step 2: Convert to fraction form
    135,487/297,787 = 297,787/x
  3. Step 3: Cross multiply
    135,487x = 297,787 × 297,787
  4. Step 4: Simplify right side
    135,487x = 88,677,097,369
  5. Step 5: Solve for x
    x = 88,677,097,369/135,487
  6. Step 6: Final answer
    x = 654,506.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.