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Finding the Third Proportional to 30,880,828 and 66,845,430

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Solution

The third proportional to 30,880,828 and 66,845,430 is: 144,695,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880,828 : 66,845,430 = 66,845,430 : x
  2. Step 2: Convert to fraction form
    30,880,828/66,845,430 = 66,845,430/x
  3. Step 3: Cross multiply
    30,880,828x = 66,845,430 × 66,845,430
  4. Step 4: Simplify right side
    30,880,828x = 4,468,311,511,884,900
  5. Step 5: Solve for x
    x = 4,468,311,511,884,900/30,880,828
  6. Step 6: Final answer
    x = 144,695,327.21

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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.