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Finding the Third Proportional to 28,461 and 45,729

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Solution

The third proportional to 28,461 and 45,729 is: 73,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,461 : 45,729 = 45,729 : x
  2. Step 2: Convert to fraction form
    28,461/45,729 = 45,729/x
  3. Step 3: Cross multiply
    28,461x = 45,729 × 45,729
  4. Step 4: Simplify right side
    28,461x = 2,091,141,441
  5. Step 5: Solve for x
    x = 2,091,141,441/28,461
  6. Step 6: Final answer
    x = 73,473.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.