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Finding the Third Proportional to 145,478 and 219,513

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Solution

The third proportional to 145,478 and 219,513 is: 331,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,478 : 219,513 = 219,513 : x
  2. Step 2: Convert to fraction form
    145,478/219,513 = 219,513/x
  3. Step 3: Cross multiply
    145,478x = 219,513 × 219,513
  4. Step 4: Simplify right side
    145,478x = 48,185,957,169
  5. Step 5: Solve for x
    x = 48,185,957,169/145,478
  6. Step 6: Final answer
    x = 331,225.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.