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Finding the Third Proportional to 99,320,542 and 213,820,356

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Solution

The third proportional to 99,320,542 and 213,820,356 is: 460,319,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,320,542 : 213,820,356 = 213,820,356 : x
  2. Step 2: Convert to fraction form
    99,320,542/213,820,356 = 213,820,356/x
  3. Step 3: Cross multiply
    99,320,542x = 213,820,356 × 213,820,356
  4. Step 4: Simplify right side
    99,320,542x = 45,719,144,639,966,736
  5. Step 5: Solve for x
    x = 45,719,144,639,966,736/99,320,542
  6. Step 6: Final answer
    x = 460,319,121.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.