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Finding the Third Proportional to 393,502 and 841,706

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Solution

The third proportional to 393,502 and 841,706 is: 1,800,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,502 : 841,706 = 841,706 : x
  2. Step 2: Convert to fraction form
    393,502/841,706 = 841,706/x
  3. Step 3: Cross multiply
    393,502x = 841,706 × 841,706
  4. Step 4: Simplify right side
    393,502x = 708,468,990,436
  5. Step 5: Solve for x
    x = 708,468,990,436/393,502
  6. Step 6: Final answer
    x = 1,800,420.30

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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.