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Finding the Third Proportional to 272,850,929 and 419,395,887

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Solution

The third proportional to 272,850,929 and 419,395,887 is: 644,648,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,850,929 : 419,395,887 = 419,395,887 : x
  2. Step 2: Convert to fraction form
    272,850,929/419,395,887 = 419,395,887/x
  3. Step 3: Cross multiply
    272,850,929x = 419,395,887 × 419,395,887
  4. Step 4: Simplify right side
    272,850,929x = 175,892,910,032,516,768
  5. Step 5: Solve for x
    x = 175,892,910,032,516,768/272,850,929
  6. Step 6: Final answer
    x = 644,648,382.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.