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Finding the Third Proportional to 581,740 and 853,458

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Solution

The third proportional to 581,740 and 853,458 is: 1,252,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,740 : 853,458 = 853,458 : x
  2. Step 2: Convert to fraction form
    581,740/853,458 = 853,458/x
  3. Step 3: Cross multiply
    581,740x = 853,458 × 853,458
  4. Step 4: Simplify right side
    581,740x = 728,390,557,764
  5. Step 5: Solve for x
    x = 728,390,557,764/581,740
  6. Step 6: Final answer
    x = 1,252,089.52

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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.