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Finding the Third Proportional to 102,912 and 155,457

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Solution

The third proportional to 102,912 and 155,457 is: 234,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912 : 155,457 = 155,457 : x
  2. Step 2: Convert to fraction form
    102,912/155,457 = 155,457/x
  3. Step 3: Cross multiply
    102,912x = 155,457 × 155,457
  4. Step 4: Simplify right side
    102,912x = 24,166,878,849
  5. Step 5: Solve for x
    x = 24,166,878,849/102,912
  6. Step 6: Final answer
    x = 234,830.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.