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Finding the Third Proportional to 145,070 and 221,921

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Solution

The third proportional to 145,070 and 221,921 is: 339,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,070 : 221,921 = 221,921 : x
  2. Step 2: Convert to fraction form
    145,070/221,921 = 221,921/x
  3. Step 3: Cross multiply
    145,070x = 221,921 × 221,921
  4. Step 4: Simplify right side
    145,070x = 49,248,930,241
  5. Step 5: Solve for x
    x = 49,248,930,241/145,070
  6. Step 6: Final answer
    x = 339,483.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.