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Finding the Third Proportional to 355,058 and 499,413

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Solution

The third proportional to 355,058 and 499,413 is: 702,458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,058 : 499,413 = 499,413 : x
  2. Step 2: Convert to fraction form
    355,058/499,413 = 499,413/x
  3. Step 3: Cross multiply
    355,058x = 499,413 × 499,413
  4. Step 4: Simplify right side
    355,058x = 249,413,344,569
  5. Step 5: Solve for x
    x = 249,413,344,569/355,058
  6. Step 6: Final answer
    x = 702,458.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.