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Finding the Third Proportional to 340,209 and 745,866

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Solution

The third proportional to 340,209 and 745,866 is: 1,635,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,209 : 745,866 = 745,866 : x
  2. Step 2: Convert to fraction form
    340,209/745,866 = 745,866/x
  3. Step 3: Cross multiply
    340,209x = 745,866 × 745,866
  4. Step 4: Simplify right side
    340,209x = 556,316,089,956
  5. Step 5: Solve for x
    x = 556,316,089,956/340,209
  6. Step 6: Final answer
    x = 1,635,218.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.