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Finding the Third Proportional to 67,389,172 and 145,538,168

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Solution

The third proportional to 67,389,172 and 145,538,168 is: 314,313,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,389,172 : 145,538,168 = 145,538,168 : x
  2. Step 2: Convert to fraction form
    67,389,172/145,538,168 = 145,538,168/x
  3. Step 3: Cross multiply
    67,389,172x = 145,538,168 × 145,538,168
  4. Step 4: Simplify right side
    67,389,172x = 21,181,358,344,796,224
  5. Step 5: Solve for x
    x = 21,181,358,344,796,224/67,389,172
  6. Step 6: Final answer
    x = 314,313,972.35

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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.