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Finding the Third Proportional to 30,659,871 and 66,762,942

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Solution

The third proportional to 30,659,871 and 66,762,942 is: 145,378,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659,871 : 66,762,942 = 66,762,942 : x
  2. Step 2: Convert to fraction form
    30,659,871/66,762,942 = 66,762,942/x
  3. Step 3: Cross multiply
    30,659,871x = 66,762,942 × 66,762,942
  4. Step 4: Simplify right side
    30,659,871x = 4,457,290,424,495,364
  5. Step 5: Solve for x
    x = 4,457,290,424,495,364/30,659,871
  6. Step 6: Final answer
    x = 145,378,642.48

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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.