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Finding the Third Proportional to 173,000 and 358,960

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Solution

The third proportional to 173,000 and 358,960 is: 744,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,000 : 358,960 = 358,960 : x
  2. Step 2: Convert to fraction form
    173,000/358,960 = 358,960/x
  3. Step 3: Cross multiply
    173,000x = 358,960 × 358,960
  4. Step 4: Simplify right side
    173,000x = 128,852,281,600
  5. Step 5: Solve for x
    x = 128,852,281,600/173,000
  6. Step 6: Final answer
    x = 744,810.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.