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Finding the Third Proportional to 29,677,180 and 64,430,320

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Solution

The third proportional to 29,677,180 and 64,430,320 is: 139,880,747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677,180 : 64,430,320 = 64,430,320 : x
  2. Step 2: Convert to fraction form
    29,677,180/64,430,320 = 64,430,320/x
  3. Step 3: Cross multiply
    29,677,180x = 64,430,320 × 64,430,320
  4. Step 4: Simplify right side
    29,677,180x = 4,151,266,135,302,400
  5. Step 5: Solve for x
    x = 4,151,266,135,302,400/29,677,180
  6. Step 6: Final answer
    x = 139,880,747.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.