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Finding the Third Proportional to 30,335,970 and 65,520,215

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Solution

The third proportional to 30,335,970 and 65,520,215 is: 141,511,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,335,970 : 65,520,215 = 65,520,215 : x
  2. Step 2: Convert to fraction form
    30,335,970/65,520,215 = 65,520,215/x
  3. Step 3: Cross multiply
    30,335,970x = 65,520,215 × 65,520,215
  4. Step 4: Simplify right side
    30,335,970x = 4,292,898,573,646,225
  5. Step 5: Solve for x
    x = 4,292,898,573,646,225/30,335,970
  6. Step 6: Final answer
    x = 141,511,828.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.