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Finding the Third Proportional to 58,392 and 90,728

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Solution

The third proportional to 58,392 and 90,728 is: 140,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,392 : 90,728 = 90,728 : x
  2. Step 2: Convert to fraction form
    58,392/90,728 = 90,728/x
  3. Step 3: Cross multiply
    58,392x = 90,728 × 90,728
  4. Step 4: Simplify right side
    58,392x = 8,231,569,984
  5. Step 5: Solve for x
    x = 8,231,569,984/58,392
  6. Step 6: Final answer
    x = 140,970.85

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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.