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Finding the Third Proportional to 128,334 and 264,798

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Solution

The third proportional to 128,334 and 264,798 is: 546,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,334 : 264,798 = 264,798 : x
  2. Step 2: Convert to fraction form
    128,334/264,798 = 264,798/x
  3. Step 3: Cross multiply
    128,334x = 264,798 × 264,798
  4. Step 4: Simplify right side
    128,334x = 70,117,980,804
  5. Step 5: Solve for x
    x = 70,117,980,804/128,334
  6. Step 6: Final answer
    x = 546,371.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.