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Finding the Third Proportional to 142,963,762 and 312,145,462

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Solution

The third proportional to 142,963,762 and 312,145,462 is: 681,534,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,963,762 : 312,145,462 = 312,145,462 : x
  2. Step 2: Convert to fraction form
    142,963,762/312,145,462 = 312,145,462/x
  3. Step 3: Cross multiply
    142,963,762x = 312,145,462 × 312,145,462
  4. Step 4: Simplify right side
    142,963,762x = 97,434,789,447,193,440
  5. Step 5: Solve for x
    x = 97,434,789,447,193,440/142,963,762
  6. Step 6: Final answer
    x = 681,534,873.48

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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.