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Finding the Third Proportional to 30,369,652.31 and 65,348,128.69

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Solution

The third proportional to 30,369,652.31 and 65,348,128.69 is: 140,613,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,369,652.31 : 65,348,128.69 = 65,348,128.69 : x
  2. Step 2: Convert to fraction form
    30,369,652.31/65,348,128.69 = 65,348,128.69/x
  3. Step 3: Cross multiply
    30,369,652.31x = 65,348,128.69 × 65,348,128.69
  4. Step 4: Simplify right side
    30,369,652.31x = 4,270,377,922,958,060.50
  5. Step 5: Solve for x
    x = 4,270,377,922,958,060.50/30,369,652.31
  6. Step 6: Final answer
    x = 140,613,329.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.