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Finding the Third Proportional to 608,840 and 964,026

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Solution

The third proportional to 608,840 and 964,026 is: 1,526,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,840 : 964,026 = 964,026 : x
  2. Step 2: Convert to fraction form
    608,840/964,026 = 964,026/x
  3. Step 3: Cross multiply
    608,840x = 964,026 × 964,026
  4. Step 4: Simplify right side
    608,840x = 929,346,128,676
  5. Step 5: Solve for x
    x = 929,346,128,676/608,840
  6. Step 6: Final answer
    x = 1,526,420.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.