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Finding the Third Proportional to 303,388 and 653,288

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Solution

The third proportional to 303,388 and 653,288 is: 1,406,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,388 : 653,288 = 653,288 : x
  2. Step 2: Convert to fraction form
    303,388/653,288 = 653,288/x
  3. Step 3: Cross multiply
    303,388x = 653,288 × 653,288
  4. Step 4: Simplify right side
    303,388x = 426,785,210,944
  5. Step 5: Solve for x
    x = 426,785,210,944/303,388
  6. Step 6: Final answer
    x = 1,406,730.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.