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Finding the Third Proportional to 354,842 and 564,318

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Solution

The third proportional to 354,842 and 564,318 is: 897,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,842 : 564,318 = 564,318 : x
  2. Step 2: Convert to fraction form
    354,842/564,318 = 564,318/x
  3. Step 3: Cross multiply
    354,842x = 564,318 × 564,318
  4. Step 4: Simplify right side
    354,842x = 318,454,805,124
  5. Step 5: Solve for x
    x = 318,454,805,124/354,842
  6. Step 6: Final answer
    x = 897,455.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.