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Finding the Third Proportional to 245,567 and 528,919

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Solution

The third proportional to 245,567 and 528,919 is: 1,139,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,567 : 528,919 = 528,919 : x
  2. Step 2: Convert to fraction form
    245,567/528,919 = 528,919/x
  3. Step 3: Cross multiply
    245,567x = 528,919 × 528,919
  4. Step 4: Simplify right side
    245,567x = 279,755,308,561
  5. Step 5: Solve for x
    x = 279,755,308,561/245,567
  6. Step 6: Final answer
    x = 1,139,221.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.