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Finding the Third Proportional to 153,985,782 and 320,708,895

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Solution

The third proportional to 153,985,782 and 320,708,895 is: 667,946,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,985,782 : 320,708,895 = 320,708,895 : x
  2. Step 2: Convert to fraction form
    153,985,782/320,708,895 = 320,708,895/x
  3. Step 3: Cross multiply
    153,985,782x = 320,708,895 × 320,708,895
  4. Step 4: Simplify right side
    153,985,782x = 102,854,195,332,121,024
  5. Step 5: Solve for x
    x = 102,854,195,332,121,024/153,985,782
  6. Step 6: Final answer
    x = 667,946,053.18

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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.