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Finding the Third Proportional to 67,351,200 and 145,480,020

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Solution

The third proportional to 67,351,200 and 145,480,020 is: 314,239,927.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,351,200 : 145,480,020 = 145,480,020 : x
  2. Step 2: Convert to fraction form
    67,351,200/145,480,020 = 145,480,020/x
  3. Step 3: Cross multiply
    67,351,200x = 145,480,020 × 145,480,020
  4. Step 4: Simplify right side
    67,351,200x = 21,164,436,219,200,400
  5. Step 5: Solve for x
    x = 21,164,436,219,200,400/67,351,200
  6. Step 6: Final answer
    x = 314,239,927.71

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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.