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Finding the Third Proportional to 153,985,788 and 320,708,907

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Solution

The third proportional to 153,985,788 and 320,708,907 is: 667,946,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,985,788 : 320,708,907 = 320,708,907 : x
  2. Step 2: Convert to fraction form
    153,985,788/320,708,907 = 320,708,907/x
  3. Step 3: Cross multiply
    153,985,788x = 320,708,907 × 320,708,907
  4. Step 4: Simplify right side
    153,985,788x = 102,854,203,029,134,656
  5. Step 5: Solve for x
    x = 102,854,203,029,134,656/153,985,788
  6. Step 6: Final answer
    x = 667,946,077.13

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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.