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Finding the Third Proportional to 334,455,100 and 720,164,728

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Solution

The third proportional to 334,455,100 and 720,164,728 is: 1,550,693,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,455,100 : 720,164,728 = 720,164,728 : x
  2. Step 2: Convert to fraction form
    334,455,100/720,164,728 = 720,164,728/x
  3. Step 3: Cross multiply
    334,455,100x = 720,164,728 × 720,164,728
  4. Step 4: Simplify right side
    334,455,100x = 518,637,235,455,313,984
  5. Step 5: Solve for x
    x = 518,637,235,455,313,984/334,455,100
  6. Step 6: Final answer
    x = 1,550,693,158.68

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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.