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Finding the Third Proportional to 338,310 and 503,820

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Solution

The third proportional to 338,310 and 503,820 is: 750,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,310 : 503,820 = 503,820 : x
  2. Step 2: Convert to fraction form
    338,310/503,820 = 503,820/x
  3. Step 3: Cross multiply
    338,310x = 503,820 × 503,820
  4. Step 4: Simplify right side
    338,310x = 253,834,592,400
  5. Step 5: Solve for x
    x = 253,834,592,400/338,310
  6. Step 6: Final answer
    x = 750,301.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.