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Finding the Third Proportional to 354,844 and 564,321

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Solution

The third proportional to 354,844 and 564,321 is: 897,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,844 : 564,321 = 564,321 : x
  2. Step 2: Convert to fraction form
    354,844/564,321 = 564,321/x
  3. Step 3: Cross multiply
    354,844x = 564,321 × 564,321
  4. Step 4: Simplify right side
    354,844x = 318,458,191,041
  5. Step 5: Solve for x
    x = 318,458,191,041/354,844
  6. Step 6: Final answer
    x = 897,459.70

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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.