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Finding the Third Proportional to 399,030 and 583,659

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Solution

The third proportional to 399,030 and 583,659 is: 853,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,030 : 583,659 = 583,659 : x
  2. Step 2: Convert to fraction form
    399,030/583,659 = 583,659/x
  3. Step 3: Cross multiply
    399,030x = 583,659 × 583,659
  4. Step 4: Simplify right side
    399,030x = 340,657,828,281
  5. Step 5: Solve for x
    x = 340,657,828,281/399,030
  6. Step 6: Final answer
    x = 853,714.83

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Why These Related Problems?

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