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Finding the Third Proportional to 56,745 and 87,809.06

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Solution

The third proportional to 56,745 and 87,809.06 is: 135,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,745 : 87,809.06 = 87,809.06 : x
  2. Step 2: Convert to fraction form
    56,745/87,809.06 = 87,809.06/x
  3. Step 3: Cross multiply
    56,745x = 87,809.06 × 87,809.06
  4. Step 4: Simplify right side
    56,745x = 7,710,431,457.13
  5. Step 5: Solve for x
    x = 7,710,431,457.13/56,745
  6. Step 6: Final answer
    x = 135,878.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.