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Finding the Third Proportional to 553,631.63 and 830,449.13

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Solution

The third proportional to 553,631.63 and 830,449.13 is: 1,245,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,631.63 : 830,449.13 = 830,449.13 : x
  2. Step 2: Convert to fraction form
    553,631.63/830,449.13 = 830,449.13/x
  3. Step 3: Cross multiply
    553,631.63x = 830,449.13 × 830,449.13
  4. Step 4: Simplify right side
    553,631.63x = 689,645,749,213.27
  5. Step 5: Solve for x
    x = 689,645,749,213.27/553,631.63
  6. Step 6: Final answer
    x = 1,245,676.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.