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Finding the Third Proportional to 91,098 and 199,746

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Solution

The third proportional to 91,098 and 199,746 is: 437,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,098 : 199,746 = 199,746 : x
  2. Step 2: Convert to fraction form
    91,098/199,746 = 199,746/x
  3. Step 3: Cross multiply
    91,098x = 199,746 × 199,746
  4. Step 4: Simplify right side
    91,098x = 39,898,464,516
  5. Step 5: Solve for x
    x = 39,898,464,516/91,098
  6. Step 6: Final answer
    x = 437,973.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.