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Finding the Third Proportional to 356,286 and 534,897

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Solution

The third proportional to 356,286 and 534,897 is: 803,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,286 : 534,897 = 534,897 : x
  2. Step 2: Convert to fraction form
    356,286/534,897 = 534,897/x
  3. Step 3: Cross multiply
    356,286x = 534,897 × 534,897
  4. Step 4: Simplify right side
    356,286x = 286,114,800,609
  5. Step 5: Solve for x
    x = 286,114,800,609/356,286
  6. Step 6: Final answer
    x = 803,048.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.