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Finding the Third Proportional to 109,411 and 156,457

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Solution

The third proportional to 109,411 and 156,457 is: 223,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,411 : 156,457 = 156,457 : x
  2. Step 2: Convert to fraction form
    109,411/156,457 = 156,457/x
  3. Step 3: Cross multiply
    109,411x = 156,457 × 156,457
  4. Step 4: Simplify right side
    109,411x = 24,478,792,849
  5. Step 5: Solve for x
    x = 24,478,792,849/109,411
  6. Step 6: Final answer
    x = 223,732.47

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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.