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Finding the Third Proportional to 686,521.50 and 1,420,779

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Solution

The third proportional to 686,521.50 and 1,420,779 is: 2,940,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,521.50 : 1,420,779 = 1,420,779 : x
  2. Step 2: Convert to fraction form
    686,521.50/1,420,779 = 1,420,779/x
  3. Step 3: Cross multiply
    686,521.50x = 1,420,779 × 1,420,779
  4. Step 4: Simplify right side
    686,521.50x = 2,018,612,966,841
  5. Step 5: Solve for x
    x = 2,018,612,966,841/686,521.50
  6. Step 6: Final answer
    x = 2,940,349.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.