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Finding the Third Proportional to 197,455 and 425,688

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Solution

The third proportional to 197,455 and 425,688 is: 917,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,455 : 425,688 = 425,688 : x
  2. Step 2: Convert to fraction form
    197,455/425,688 = 425,688/x
  3. Step 3: Cross multiply
    197,455x = 425,688 × 425,688
  4. Step 4: Simplify right side
    197,455x = 181,210,273,344
  5. Step 5: Solve for x
    x = 181,210,273,344/197,455
  6. Step 6: Final answer
    x = 917,729.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.