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Finding the Third Proportional to 369,940 and 553,897

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Solution

The third proportional to 369,940 and 553,897 is: 829,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,940 : 553,897 = 553,897 : x
  2. Step 2: Convert to fraction form
    369,940/553,897 = 553,897/x
  3. Step 3: Cross multiply
    369,940x = 553,897 × 553,897
  4. Step 4: Simplify right side
    369,940x = 306,801,886,609
  5. Step 5: Solve for x
    x = 306,801,886,609/369,940
  6. Step 6: Final answer
    x = 829,328.77

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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.