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Finding the Third Proportional to 128,490 and 303,730

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Solution

The third proportional to 128,490 and 303,730 is: 717,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,490 : 303,730 = 303,730 : x
  2. Step 2: Convert to fraction form
    128,490/303,730 = 303,730/x
  3. Step 3: Cross multiply
    128,490x = 303,730 × 303,730
  4. Step 4: Simplify right side
    128,490x = 92,251,912,900
  5. Step 5: Solve for x
    x = 92,251,912,900/128,490
  6. Step 6: Final answer
    x = 717,969.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.