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Finding the Third Proportional to 234,021 and 456,378

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Solution

The third proportional to 234,021 and 456,378 is: 890,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,021 : 456,378 = 456,378 : x
  2. Step 2: Convert to fraction form
    234,021/456,378 = 456,378/x
  3. Step 3: Cross multiply
    234,021x = 456,378 × 456,378
  4. Step 4: Simplify right side
    234,021x = 208,280,878,884
  5. Step 5: Solve for x
    x = 208,280,878,884/234,021
  6. Step 6: Final answer
    x = 890,009.35

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.