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Finding the Third Proportional to 346,300,736 and 761,860,936

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Solution

The third proportional to 346,300,736 and 761,860,936 is: 1,676,092,556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,300,736 : 761,860,936 = 761,860,936 : x
  2. Step 2: Convert to fraction form
    346,300,736/761,860,936 = 761,860,936/x
  3. Step 3: Cross multiply
    346,300,736x = 761,860,936 × 761,860,936
  4. Step 4: Simplify right side
    346,300,736x = 580,432,085,802,796,032
  5. Step 5: Solve for x
    x = 580,432,085,802,796,032/346,300,736
  6. Step 6: Final answer
    x = 1,676,092,556.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.