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Finding the Third Proportional to 390,124 and 835,543

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Solution

The third proportional to 390,124 and 835,543 is: 1,789,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,124 : 835,543 = 835,543 : x
  2. Step 2: Convert to fraction form
    390,124/835,543 = 835,543/x
  3. Step 3: Cross multiply
    390,124x = 835,543 × 835,543
  4. Step 4: Simplify right side
    390,124x = 698,132,104,849
  5. Step 5: Solve for x
    x = 698,132,104,849/390,124
  6. Step 6: Final answer
    x = 1,789,513.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.