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Finding the Third Proportional to 155,455 and 411,430

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Solution

The third proportional to 155,455 and 411,430 is: 1,088,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,455 : 411,430 = 411,430 : x
  2. Step 2: Convert to fraction form
    155,455/411,430 = 411,430/x
  3. Step 3: Cross multiply
    155,455x = 411,430 × 411,430
  4. Step 4: Simplify right side
    155,455x = 169,274,644,900
  5. Step 5: Solve for x
    x = 169,274,644,900/155,455
  6. Step 6: Final answer
    x = 1,088,898.04

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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.