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Finding the Third Proportional to 56,043 and 77,188.50

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Solution

The third proportional to 56,043 and 77,188.50 is: 106,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,043 : 77,188.50 = 77,188.50 : x
  2. Step 2: Convert to fraction form
    56,043/77,188.50 = 77,188.50/x
  3. Step 3: Cross multiply
    56,043x = 77,188.50 × 77,188.50
  4. Step 4: Simplify right side
    56,043x = 5,958,064,532.25
  5. Step 5: Solve for x
    x = 5,958,064,532.25/56,043
  6. Step 6: Final answer
    x = 106,312.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.