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Finding the Third Proportional to 190,491 and 418,587

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Solution

The third proportional to 190,491 and 418,587 is: 919,807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,491 : 418,587 = 418,587 : x
  2. Step 2: Convert to fraction form
    190,491/418,587 = 418,587/x
  3. Step 3: Cross multiply
    190,491x = 418,587 × 418,587
  4. Step 4: Simplify right side
    190,491x = 175,215,076,569
  5. Step 5: Solve for x
    x = 175,215,076,569/190,491
  6. Step 6: Final answer
    x = 919,807.64

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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.