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Finding the Third Proportional to 289,470.50 and 413,565

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Solution

The third proportional to 289,470.50 and 413,565 is: 590,858.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,470.50 : 413,565 = 413,565 : x
  2. Step 2: Convert to fraction form
    289,470.50/413,565 = 413,565/x
  3. Step 3: Cross multiply
    289,470.50x = 413,565 × 413,565
  4. Step 4: Simplify right side
    289,470.50x = 171,036,009,225
  5. Step 5: Solve for x
    x = 171,036,009,225/289,470.50
  6. Step 6: Final answer
    x = 590,858.17

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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.