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Finding the Third Proportional to 118,709,488,120 and 256,014,634,832

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Solution

The third proportional to 118,709,488,120 and 256,014,634,832 is: 552,133,568,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,709,488,120 : 256,014,634,832 = 256,014,634,832 : x
  2. Step 2: Convert to fraction form
    118,709,488,120/256,014,634,832 = 256,014,634,832/x
  3. Step 3: Cross multiply
    118,709,488,120x = 256,014,634,832 × 256,014,634,832
  4. Step 4: Simplify right side
    118,709,488,120x = 65,543,493,248,162,304,360,448
  5. Step 5: Solve for x
    x = 65,543,493,248,162,304,360,448/118,709,488,120
  6. Step 6: Final answer
    x = 552,133,568,143.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.