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Finding the Third Proportional to 209,137,372 and 316,395,844

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Solution

The third proportional to 209,137,372 and 316,395,844 is: 478,663,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,137,372 : 316,395,844 = 316,395,844 : x
  2. Step 2: Convert to fraction form
    209,137,372/316,395,844 = 316,395,844/x
  3. Step 3: Cross multiply
    209,137,372x = 316,395,844 × 316,395,844
  4. Step 4: Simplify right side
    209,137,372x = 100,106,330,100,472,336
  5. Step 5: Solve for x
    x = 100,106,330,100,472,336/209,137,372
  6. Step 6: Final answer
    x = 478,663,039.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.