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Finding the Third Proportional to 30,671,305 and 65,651,971

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Solution

The third proportional to 30,671,305 and 65,651,971 is: 140,528,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671,305 : 65,651,971 = 65,651,971 : x
  2. Step 2: Convert to fraction form
    30,671,305/65,651,971 = 65,651,971/x
  3. Step 3: Cross multiply
    30,671,305x = 65,651,971 × 65,651,971
  4. Step 4: Simplify right side
    30,671,305x = 4,310,181,296,184,841
  5. Step 5: Solve for x
    x = 4,310,181,296,184,841/30,671,305
  6. Step 6: Final answer
    x = 140,528,135.21

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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.