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Finding the Third Proportional to 30,658,850 and 66,760,900

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Solution

The third proportional to 30,658,850 and 66,760,900 is: 145,374,590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658,850 : 66,760,900 = 66,760,900 : x
  2. Step 2: Convert to fraction form
    30,658,850/66,760,900 = 66,760,900/x
  3. Step 3: Cross multiply
    30,658,850x = 66,760,900 × 66,760,900
  4. Step 4: Simplify right side
    30,658,850x = 4,457,017,768,810,000
  5. Step 5: Solve for x
    x = 4,457,017,768,810,000/30,658,850
  6. Step 6: Final answer
    x = 145,374,590.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.