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Finding the Third Proportional to 340,838 and 738,089

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Solution

The third proportional to 340,838 and 738,089 is: 1,598,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,838 : 738,089 = 738,089 : x
  2. Step 2: Convert to fraction form
    340,838/738,089 = 738,089/x
  3. Step 3: Cross multiply
    340,838x = 738,089 × 738,089
  4. Step 4: Simplify right side
    340,838x = 544,775,371,921
  5. Step 5: Solve for x
    x = 544,775,371,921/340,838
  6. Step 6: Final answer
    x = 1,598,341.07

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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.