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Finding the Third Proportional to 220,645 and 340,953

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Solution

The third proportional to 220,645 and 340,953 is: 526,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,645 : 340,953 = 340,953 : x
  2. Step 2: Convert to fraction form
    220,645/340,953 = 340,953/x
  3. Step 3: Cross multiply
    220,645x = 340,953 × 340,953
  4. Step 4: Simplify right side
    220,645x = 116,248,948,209
  5. Step 5: Solve for x
    x = 116,248,948,209/220,645
  6. Step 6: Final answer
    x = 526,859.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.