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Finding the Third Proportional to 638,506 and 929,679

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Solution

The third proportional to 638,506 and 929,679 is: 1,353,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,506 : 929,679 = 929,679 : x
  2. Step 2: Convert to fraction form
    638,506/929,679 = 929,679/x
  3. Step 3: Cross multiply
    638,506x = 929,679 × 929,679
  4. Step 4: Simplify right side
    638,506x = 864,303,043,041
  5. Step 5: Solve for x
    x = 864,303,043,041/638,506
  6. Step 6: Final answer
    x = 1,353,633.39

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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.