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Finding the Third Proportional to 142,963,760 and 312,145,457

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Solution

The third proportional to 142,963,760 and 312,145,457 is: 681,534,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,963,760 : 312,145,457 = 312,145,457 : x
  2. Step 2: Convert to fraction form
    142,963,760/312,145,457 = 312,145,457/x
  3. Step 3: Cross multiply
    142,963,760x = 312,145,457 × 312,145,457
  4. Step 4: Simplify right side
    142,963,760x = 97,434,786,325,738,848
  5. Step 5: Solve for x
    x = 97,434,786,325,738,848/142,963,760
  6. Step 6: Final answer
    x = 681,534,861.18

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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.