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Finding the Third Proportional to 197,480 and 432,463

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Solution

The third proportional to 197,480 and 432,463 is: 947,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,480 : 432,463 = 432,463 : x
  2. Step 2: Convert to fraction form
    197,480/432,463 = 432,463/x
  3. Step 3: Cross multiply
    197,480x = 432,463 × 432,463
  4. Step 4: Simplify right side
    197,480x = 187,024,246,369
  5. Step 5: Solve for x
    x = 187,024,246,369/197,480
  6. Step 6: Final answer
    x = 947,054.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.