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Finding the Third Proportional to 190,480 and 418,341

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Solution

The third proportional to 190,480 and 418,341 is: 918,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,480 : 418,341 = 418,341 : x
  2. Step 2: Convert to fraction form
    190,480/418,341 = 418,341/x
  3. Step 3: Cross multiply
    190,480x = 418,341 × 418,341
  4. Step 4: Simplify right side
    190,480x = 175,009,192,281
  5. Step 5: Solve for x
    x = 175,009,192,281/190,480
  6. Step 6: Final answer
    x = 918,779.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.