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Finding the Third Proportional to 199,617 and 291,637.50

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Solution

The third proportional to 199,617 and 291,637.50 is: 426,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,617 : 291,637.50 = 291,637.50 : x
  2. Step 2: Convert to fraction form
    199,617/291,637.50 = 291,637.50/x
  3. Step 3: Cross multiply
    199,617x = 291,637.50 × 291,637.50
  4. Step 4: Simplify right side
    199,617x = 85,052,431,406.25
  5. Step 5: Solve for x
    x = 85,052,431,406.25/199,617
  6. Step 6: Final answer
    x = 426,078.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.