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Finding the Third Proportional to 321,440,610 and 697,678,692

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Solution

The third proportional to 321,440,610 and 697,678,692 is: 1,514,293,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,440,610 : 697,678,692 = 697,678,692 : x
  2. Step 2: Convert to fraction form
    321,440,610/697,678,692 = 697,678,692/x
  3. Step 3: Cross multiply
    321,440,610x = 697,678,692 × 697,678,692
  4. Step 4: Simplify right side
    321,440,610x = 486,755,557,270,830,848
  5. Step 5: Solve for x
    x = 486,755,557,270,830,848/321,440,610
  6. Step 6: Final answer
    x = 1,514,293,907.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.