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Finding the Third Proportional to 389,724 and 841,620

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Solution

The third proportional to 389,724 and 841,620 is: 1,817,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,724 : 841,620 = 841,620 : x
  2. Step 2: Convert to fraction form
    389,724/841,620 = 841,620/x
  3. Step 3: Cross multiply
    389,724x = 841,620 × 841,620
  4. Step 4: Simplify right side
    389,724x = 708,324,224,400
  5. Step 5: Solve for x
    x = 708,324,224,400/389,724
  6. Step 6: Final answer
    x = 1,817,502.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.