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Finding the Third Proportional to 58,390 and 90,318

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Solution

The third proportional to 58,390 and 90,318 is: 139,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,390 : 90,318 = 90,318 : x
  2. Step 2: Convert to fraction form
    58,390/90,318 = 90,318/x
  3. Step 3: Cross multiply
    58,390x = 90,318 × 90,318
  4. Step 4: Simplify right side
    58,390x = 8,157,341,124
  5. Step 5: Solve for x
    x = 8,157,341,124/58,390
  6. Step 6: Final answer
    x = 139,704.42

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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.