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Finding the Third Proportional to 65,617,808 and 143,593,138

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Solution

The third proportional to 65,617,808 and 143,593,138 is: 314,228,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,617,808 : 143,593,138 = 143,593,138 : x
  2. Step 2: Convert to fraction form
    65,617,808/143,593,138 = 143,593,138/x
  3. Step 3: Cross multiply
    65,617,808x = 143,593,138 × 143,593,138
  4. Step 4: Simplify right side
    65,617,808x = 20,618,989,280,687,044
  5. Step 5: Solve for x
    x = 20,618,989,280,687,044/65,617,808
  6. Step 6: Final answer
    x = 314,228,559.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.