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Finding the Third Proportional to 155,457 and 411,435

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Solution

The third proportional to 155,457 and 411,435 is: 1,088,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,457 : 411,435 = 411,435 : x
  2. Step 2: Convert to fraction form
    155,457/411,435 = 411,435/x
  3. Step 3: Cross multiply
    155,457x = 411,435 × 411,435
  4. Step 4: Simplify right side
    155,457x = 169,278,759,225
  5. Step 5: Solve for x
    x = 169,278,759,225/155,457
  6. Step 6: Final answer
    x = 1,088,910.50

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.