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Finding the Third Proportional to 358,236 and 559,143

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Solution

The third proportional to 358,236 and 559,143 is: 872,723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,236 : 559,143 = 559,143 : x
  2. Step 2: Convert to fraction form
    358,236/559,143 = 559,143/x
  3. Step 3: Cross multiply
    358,236x = 559,143 × 559,143
  4. Step 4: Simplify right side
    358,236x = 312,640,894,449
  5. Step 5: Solve for x
    x = 312,640,894,449/358,236
  6. Step 6: Final answer
    x = 872,723.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.