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Finding the Third Proportional to 91,490 and 137,455

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Solution

The third proportional to 91,490 and 137,455 is: 206,513.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,490 : 137,455 = 137,455 : x
  2. Step 2: Convert to fraction form
    91,490/137,455 = 137,455/x
  3. Step 3: Cross multiply
    91,490x = 137,455 × 137,455
  4. Step 4: Simplify right side
    91,490x = 18,893,877,025
  5. Step 5: Solve for x
    x = 18,893,877,025/91,490
  6. Step 6: Final answer
    x = 206,513.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.