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Finding the Third Proportional to 820,692 and 1,202,688

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Solution

The third proportional to 820,692 and 1,202,688 is: 1,762,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,692 : 1,202,688 = 1,202,688 : x
  2. Step 2: Convert to fraction form
    820,692/1,202,688 = 1,202,688/x
  3. Step 3: Cross multiply
    820,692x = 1,202,688 × 1,202,688
  4. Step 4: Simplify right side
    820,692x = 1,446,458,425,344
  5. Step 5: Solve for x
    x = 1,446,458,425,344/820,692
  6. Step 6: Final answer
    x = 1,762,486.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.