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Finding the Third Proportional to 289,141.31 and 626,550.19

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Solution

The third proportional to 289,141.31 and 626,550.19 is: 1,357,693.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,141.31 : 626,550.19 = 626,550.19 : x
  2. Step 2: Convert to fraction form
    289,141.31/626,550.19 = 626,550.19/x
  3. Step 3: Cross multiply
    289,141.31x = 626,550.19 × 626,550.19
  4. Step 4: Simplify right side
    289,141.31x = 392,565,137,456.29
  5. Step 5: Solve for x
    x = 392,565,137,456.29/289,141.31
  6. Step 6: Final answer
    x = 1,357,693.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.