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Finding the Third Proportional to 211,341 and 315,931.50

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Solution

The third proportional to 211,341 and 315,931.50 is: 472,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,341 : 315,931.50 = 315,931.50 : x
  2. Step 2: Convert to fraction form
    211,341/315,931.50 = 315,931.50/x
  3. Step 3: Cross multiply
    211,341x = 315,931.50 × 315,931.50
  4. Step 4: Simplify right side
    211,341x = 99,812,712,692.25
  5. Step 5: Solve for x
    x = 99,812,712,692.25/211,341
  6. Step 6: Final answer
    x = 472,282.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.