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Finding the Third Proportional to 56,896 and 90,438

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Solution

The third proportional to 56,896 and 90,438 is: 143,754.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,896 : 90,438 = 90,438 : x
  2. Step 2: Convert to fraction form
    56,896/90,438 = 90,438/x
  3. Step 3: Cross multiply
    56,896x = 90,438 × 90,438
  4. Step 4: Simplify right side
    56,896x = 8,179,031,844
  5. Step 5: Solve for x
    x = 8,179,031,844/56,896
  6. Step 6: Final answer
    x = 143,754.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.