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Finding the Third Proportional to 145,659,471 and 312,043,374

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Solution

The third proportional to 145,659,471 and 312,043,374 is: 668,484,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,659,471 : 312,043,374 = 312,043,374 : x
  2. Step 2: Convert to fraction form
    145,659,471/312,043,374 = 312,043,374/x
  3. Step 3: Cross multiply
    145,659,471x = 312,043,374 × 312,043,374
  4. Step 4: Simplify right side
    145,659,471x = 97,371,067,257,303,872
  5. Step 5: Solve for x
    x = 97,371,067,257,303,872/145,659,471
  6. Step 6: Final answer
    x = 668,484,284.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.