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Finding the Third Proportional to 378,362 and 564,260

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Solution

The third proportional to 378,362 and 564,260 is: 841,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,362 : 564,260 = 564,260 : x
  2. Step 2: Convert to fraction form
    378,362/564,260 = 564,260/x
  3. Step 3: Cross multiply
    378,362x = 564,260 × 564,260
  4. Step 4: Simplify right side
    378,362x = 318,389,347,600
  5. Step 5: Solve for x
    x = 318,389,347,600/378,362
  6. Step 6: Final answer
    x = 841,493.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.