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Finding the Third Proportional to 148,689 and 211,961.50

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Solution

The third proportional to 148,689 and 211,961.50 is: 302,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,689 : 211,961.50 = 211,961.50 : x
  2. Step 2: Convert to fraction form
    148,689/211,961.50 = 211,961.50/x
  3. Step 3: Cross multiply
    148,689x = 211,961.50 × 211,961.50
  4. Step 4: Simplify right side
    148,689x = 44,927,677,482.25
  5. Step 5: Solve for x
    x = 44,927,677,482.25/148,689
  6. Step 6: Final answer
    x = 302,158.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.