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Finding the Third Proportional to 265,411,297.69 and 398,116,999.69

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Solution

The third proportional to 265,411,297.69 and 398,116,999.69 is: 597,175,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,411,297.69 : 398,116,999.69 = 398,116,999.69 : x
  2. Step 2: Convert to fraction form
    265,411,297.69/398,116,999.69 = 398,116,999.69/x
  3. Step 3: Cross multiply
    265,411,297.69x = 398,116,999.69 × 398,116,999.69
  4. Step 4: Simplify right side
    265,411,297.69x = 158,497,145,440,176,864
  5. Step 5: Solve for x
    x = 158,497,145,440,176,864/265,411,297.69
  6. Step 6: Final answer
    x = 597,175,579.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.