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Finding the Third Proportional to 346,288 and 756,128

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Solution

The third proportional to 346,288 and 756,128 is: 1,651,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,288 : 756,128 = 756,128 : x
  2. Step 2: Convert to fraction form
    346,288/756,128 = 756,128/x
  3. Step 3: Cross multiply
    346,288x = 756,128 × 756,128
  4. Step 4: Simplify right side
    346,288x = 571,729,552,384
  5. Step 5: Solve for x
    x = 571,729,552,384/346,288
  6. Step 6: Final answer
    x = 1,651,023.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.