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Finding the Third Proportional to 528,848 and 805,672

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Solution

The third proportional to 528,848 and 805,672 is: 1,227,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,848 : 805,672 = 805,672 : x
  2. Step 2: Convert to fraction form
    528,848/805,672 = 805,672/x
  3. Step 3: Cross multiply
    528,848x = 805,672 × 805,672
  4. Step 4: Simplify right side
    528,848x = 649,107,371,584
  5. Step 5: Solve for x
    x = 649,107,371,584/528,848
  6. Step 6: Final answer
    x = 1,227,398.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.