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Finding the Third Proportional to 258,948 and 564,970

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Solution

The third proportional to 258,948 and 564,970 is: 1,232,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,948 : 564,970 = 564,970 : x
  2. Step 2: Convert to fraction form
    258,948/564,970 = 564,970/x
  3. Step 3: Cross multiply
    258,948x = 564,970 × 564,970
  4. Step 4: Simplify right side
    258,948x = 319,191,100,900
  5. Step 5: Solve for x
    x = 319,191,100,900/258,948
  6. Step 6: Final answer
    x = 1,232,645.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.