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Finding the Third Proportional to 354,888 and 564,388

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Solution

The third proportional to 354,888 and 564,388 is: 897,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,888 : 564,388 = 564,388 : x
  2. Step 2: Convert to fraction form
    354,888/564,388 = 564,388/x
  3. Step 3: Cross multiply
    354,888x = 564,388 × 564,388
  4. Step 4: Simplify right side
    354,888x = 318,533,814,544
  5. Step 5: Solve for x
    x = 318,533,814,544/354,888
  6. Step 6: Final answer
    x = 897,561.53

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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.