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Finding the Third Proportional to 155,428 and 338,960

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Solution

The third proportional to 155,428 and 338,960 is: 739,209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,428 : 338,960 = 338,960 : x
  2. Step 2: Convert to fraction form
    155,428/338,960 = 338,960/x
  3. Step 3: Cross multiply
    155,428x = 338,960 × 338,960
  4. Step 4: Simplify right side
    155,428x = 114,893,881,600
  5. Step 5: Solve for x
    x = 114,893,881,600/155,428
  6. Step 6: Final answer
    x = 739,209.68

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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.