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Finding the Third Proportional to 221,429 and 312,032

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Solution

The third proportional to 221,429 and 312,032 is: 439,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,429 : 312,032 = 312,032 : x
  2. Step 2: Convert to fraction form
    221,429/312,032 = 312,032/x
  3. Step 3: Cross multiply
    221,429x = 312,032 × 312,032
  4. Step 4: Simplify right side
    221,429x = 97,363,969,024
  5. Step 5: Solve for x
    x = 97,363,969,024/221,429
  6. Step 6: Final answer
    x = 439,707.40

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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.