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Finding the Third Proportional to 106,489,864 and 152,176,480

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Solution

The third proportional to 106,489,864 and 152,176,480 is: 217,463,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,489,864 : 152,176,480 = 152,176,480 : x
  2. Step 2: Convert to fraction form
    106,489,864/152,176,480 = 152,176,480/x
  3. Step 3: Cross multiply
    106,489,864x = 152,176,480 × 152,176,480
  4. Step 4: Simplify right side
    106,489,864x = 23,157,681,065,190,400
  5. Step 5: Solve for x
    x = 23,157,681,065,190,400/106,489,864
  6. Step 6: Final answer
    x = 217,463,711.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.