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Finding the Third Proportional to 150,209,721 and 321,977,430

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Solution

The third proportional to 150,209,721 and 321,977,430 is: 690,164,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,209,721 : 321,977,430 = 321,977,430 : x
  2. Step 2: Convert to fraction form
    150,209,721/321,977,430 = 321,977,430/x
  3. Step 3: Cross multiply
    150,209,721x = 321,977,430 × 321,977,430
  4. Step 4: Simplify right side
    150,209,721x = 103,669,465,429,404,896
  5. Step 5: Solve for x
    x = 103,669,465,429,404,896/150,209,721
  6. Step 6: Final answer
    x = 690,164,822.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.