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Finding the Third Proportional to 392,282 and 608,511

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Solution

The third proportional to 392,282 and 608,511 is: 943,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,282 : 608,511 = 608,511 : x
  2. Step 2: Convert to fraction form
    392,282/608,511 = 608,511/x
  3. Step 3: Cross multiply
    392,282x = 608,511 × 608,511
  4. Step 4: Simplify right side
    392,282x = 370,285,637,121
  5. Step 5: Solve for x
    x = 370,285,637,121/392,282
  6. Step 6: Final answer
    x = 943,927.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.