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Finding the Third Proportional to 133,776 and 162,490

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Solution

The third proportional to 133,776 and 162,490 is: 197,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,776 : 162,490 = 162,490 : x
  2. Step 2: Convert to fraction form
    133,776/162,490 = 162,490/x
  3. Step 3: Cross multiply
    133,776x = 162,490 × 162,490
  4. Step 4: Simplify right side
    133,776x = 26,403,000,100
  5. Step 5: Solve for x
    x = 26,403,000,100/133,776
  6. Step 6: Final answer
    x = 197,367.24

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.