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Finding the Third Proportional to 91,476 and 130,558

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Solution

The third proportional to 91,476 and 130,558 is: 186,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,476 : 130,558 = 130,558 : x
  2. Step 2: Convert to fraction form
    91,476/130,558 = 130,558/x
  3. Step 3: Cross multiply
    91,476x = 130,558 × 130,558
  4. Step 4: Simplify right side
    91,476x = 17,045,391,364
  5. Step 5: Solve for x
    x = 17,045,391,364/91,476
  6. Step 6: Final answer
    x = 186,337.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.