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Finding the Third Proportional to 211,685 and 291,607.50

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Solution

The third proportional to 211,685 and 291,607.50 is: 401,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,685 : 291,607.50 = 291,607.50 : x
  2. Step 2: Convert to fraction form
    211,685/291,607.50 = 291,607.50/x
  3. Step 3: Cross multiply
    211,685x = 291,607.50 × 291,607.50
  4. Step 4: Simplify right side
    211,685x = 85,034,934,056.25
  5. Step 5: Solve for x
    x = 85,034,934,056.25/211,685
  6. Step 6: Final answer
    x = 401,705.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.