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Finding the Third Proportional to 330,130.13 and 686,089.13

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Solution

The third proportional to 330,130.13 and 686,089.13 is: 1,425,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,130.13 : 686,089.13 = 686,089.13 : x
  2. Step 2: Convert to fraction form
    330,130.13/686,089.13 = 686,089.13/x
  3. Step 3: Cross multiply
    330,130.13x = 686,089.13 × 686,089.13
  4. Step 4: Simplify right side
    330,130.13x = 470,718,287,443.27
  5. Step 5: Solve for x
    x = 470,718,287,443.27/330,130.13
  6. Step 6: Final answer
    x = 1,425,856.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.