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Finding the Third Proportional to 153,985,786 and 320,708,903

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Solution

The third proportional to 153,985,786 and 320,708,903 is: 667,946,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,985,786 : 320,708,903 = 320,708,903 : x
  2. Step 2: Convert to fraction form
    153,985,786/320,708,903 = 320,708,903/x
  3. Step 3: Cross multiply
    153,985,786x = 320,708,903 × 320,708,903
  4. Step 4: Simplify right side
    153,985,786x = 102,854,200,463,463,408
  5. Step 5: Solve for x
    x = 102,854,200,463,463,408/153,985,786
  6. Step 6: Final answer
    x = 667,946,069.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.