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Finding the Third Proportional to 643,254.19 and 1,369,705.50

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Solution

The third proportional to 643,254.19 and 1,369,705.50 is: 2,916,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,254.19 : 1,369,705.50 = 1,369,705.50 : x
  2. Step 2: Convert to fraction form
    643,254.19/1,369,705.50 = 1,369,705.50/x
  3. Step 3: Cross multiply
    643,254.19x = 1,369,705.50 × 1,369,705.50
  4. Step 4: Simplify right side
    643,254.19x = 1,876,093,156,730.25
  5. Step 5: Solve for x
    x = 1,876,093,156,730.25/643,254.19
  6. Step 6: Final answer
    x = 2,916,565.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.