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Finding the Third Proportional to 580,379 and 887,740

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Solution

The third proportional to 580,379 and 887,740 is: 1,357,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,379 : 887,740 = 887,740 : x
  2. Step 2: Convert to fraction form
    580,379/887,740 = 887,740/x
  3. Step 3: Cross multiply
    580,379x = 887,740 × 887,740
  4. Step 4: Simplify right side
    580,379x = 788,082,307,600
  5. Step 5: Solve for x
    x = 788,082,307,600/580,379
  6. Step 6: Final answer
    x = 1,357,875.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.