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Finding the Third Proportional to 234,009 and 456,354

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Solution

The third proportional to 234,009 and 456,354 is: 889,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,009 : 456,354 = 456,354 : x
  2. Step 2: Convert to fraction form
    234,009/456,354 = 456,354/x
  3. Step 3: Cross multiply
    234,009x = 456,354 × 456,354
  4. Step 4: Simplify right side
    234,009x = 208,258,973,316
  5. Step 5: Solve for x
    x = 208,258,973,316/234,009
  6. Step 6: Final answer
    x = 889,961.38

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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.