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Finding the Third Proportional to 45,312 and 99,840

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Solution

The third proportional to 45,312 and 99,840 is: 219,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312 : 99,840 = 99,840 : x
  2. Step 2: Convert to fraction form
    45,312/99,840 = 99,840/x
  3. Step 3: Cross multiply
    45,312x = 99,840 × 99,840
  4. Step 4: Simplify right side
    45,312x = 9,968,025,600
  5. Step 5: Solve for x
    x = 9,968,025,600/45,312
  6. Step 6: Final answer
    x = 219,986.44

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Why These Related Problems?

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