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Finding the Third Proportional to 399,028 and 583,656

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Solution

The third proportional to 399,028 and 583,656 is: 853,710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,028 : 583,656 = 583,656 : x
  2. Step 2: Convert to fraction form
    399,028/583,656 = 583,656/x
  3. Step 3: Cross multiply
    399,028x = 583,656 × 583,656
  4. Step 4: Simplify right side
    399,028x = 340,654,326,336
  5. Step 5: Solve for x
    x = 340,654,326,336/399,028
  6. Step 6: Final answer
    x = 853,710.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.