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Finding the Third Proportional to 611,073 and 897,897

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Solution

The third proportional to 611,073 and 897,897 is: 1,319,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,073 : 897,897 = 897,897 : x
  2. Step 2: Convert to fraction form
    611,073/897,897 = 897,897/x
  3. Step 3: Cross multiply
    611,073x = 897,897 × 897,897
  4. Step 4: Simplify right side
    611,073x = 806,219,022,609
  5. Step 5: Solve for x
    x = 806,219,022,609/611,073
  6. Step 6: Final answer
    x = 1,319,349.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.