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Finding the Third Proportional to 358,427 and 559,415

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Solution

The third proportional to 358,427 and 559,415 is: 873,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,427 : 559,415 = 559,415 : x
  2. Step 2: Convert to fraction form
    358,427/559,415 = 559,415/x
  3. Step 3: Cross multiply
    358,427x = 559,415 × 559,415
  4. Step 4: Simplify right side
    358,427x = 312,945,142,225
  5. Step 5: Solve for x
    x = 312,945,142,225/358,427
  6. Step 6: Final answer
    x = 873,107.05

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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.