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Finding the Third Proportional to 528,829 and 805,636

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Solution

The third proportional to 528,829 and 805,636 is: 1,227,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,829 : 805,636 = 805,636 : x
  2. Step 2: Convert to fraction form
    528,829/805,636 = 805,636/x
  3. Step 3: Cross multiply
    528,829x = 805,636 × 805,636
  4. Step 4: Simplify right side
    528,829x = 649,049,364,496
  5. Step 5: Solve for x
    x = 649,049,364,496/528,829
  6. Step 6: Final answer
    x = 1,227,333.15

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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.