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Finding the Third Proportional to 380,242,068.75 and 810,709,467.75

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Solution

The third proportional to 380,242,068.75 and 810,709,467.75 is: 1,728,503,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,242,068.75 : 810,709,467.75 = 810,709,467.75 : x
  2. Step 2: Convert to fraction form
    380,242,068.75/810,709,467.75 = 810,709,467.75/x
  3. Step 3: Cross multiply
    380,242,068.75x = 810,709,467.75 × 810,709,467.75
  4. Step 4: Simplify right side
    380,242,068.75x = 657,249,841,099,488,256
  5. Step 5: Solve for x
    x = 657,249,841,099,488,256/380,242,068.75
  6. Step 6: Final answer
    x = 1,728,503,748.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.