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Finding the Third Proportional to 528,860 and 805,688

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Solution

The third proportional to 528,860 and 805,688 is: 1,227,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,860 : 805,688 = 805,688 : x
  2. Step 2: Convert to fraction form
    528,860/805,688 = 805,688/x
  3. Step 3: Cross multiply
    528,860x = 805,688 × 805,688
  4. Step 4: Simplify right side
    528,860x = 649,133,153,344
  5. Step 5: Solve for x
    x = 649,133,153,344/528,860
  6. Step 6: Final answer
    x = 1,227,419.64

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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.