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Finding the Third Proportional to 356,553 and 783,090

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Solution

The third proportional to 356,553 and 783,090 is: 1,719,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,553 : 783,090 = 783,090 : x
  2. Step 2: Convert to fraction form
    356,553/783,090 = 783,090/x
  3. Step 3: Cross multiply
    356,553x = 783,090 × 783,090
  4. Step 4: Simplify right side
    356,553x = 613,229,948,100
  5. Step 5: Solve for x
    x = 613,229,948,100/356,553
  6. Step 6: Final answer
    x = 1,719,884.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.