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Finding the Third Proportional to 91,505 and 197,590

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Solution

The third proportional to 91,505 and 197,590 is: 426,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,505 : 197,590 = 197,590 : x
  2. Step 2: Convert to fraction form
    91,505/197,590 = 197,590/x
  3. Step 3: Cross multiply
    91,505x = 197,590 × 197,590
  4. Step 4: Simplify right side
    91,505x = 39,041,808,100
  5. Step 5: Solve for x
    x = 39,041,808,100/91,505
  6. Step 6: Final answer
    x = 426,663.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.