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Finding the Third Proportional to 197,312 and 425,728

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Solution

The third proportional to 197,312 and 425,728 is: 918,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,312 : 425,728 = 425,728 : x
  2. Step 2: Convert to fraction form
    197,312/425,728 = 425,728/x
  3. Step 3: Cross multiply
    197,312x = 425,728 × 425,728
  4. Step 4: Simplify right side
    197,312x = 181,244,329,984
  5. Step 5: Solve for x
    x = 181,244,329,984/197,312
  6. Step 6: Final answer
    x = 918,567.19

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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.