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Finding the Third Proportional to 361,920 and 714,754

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Solution

The third proportional to 361,920 and 714,754 is: 1,411,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,920 : 714,754 = 714,754 : x
  2. Step 2: Convert to fraction form
    361,920/714,754 = 714,754/x
  3. Step 3: Cross multiply
    361,920x = 714,754 × 714,754
  4. Step 4: Simplify right side
    361,920x = 510,873,280,516
  5. Step 5: Solve for x
    x = 510,873,280,516/361,920
  6. Step 6: Final answer
    x = 1,411,564.10

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.