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Finding the Third Proportional to 128,310,718,462 and 267,180,870,180

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Solution

The third proportional to 128,310,718,462 and 267,180,870,180 is: 556,349,603,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,310,718,462 : 267,180,870,180 = 267,180,870,180 : x
  2. Step 2: Convert to fraction form
    128,310,718,462/267,180,870,180 = 267,180,870,180/x
  3. Step 3: Cross multiply
    128,310,718,462x = 267,180,870,180 × 267,180,870,180
  4. Step 4: Simplify right side
    128,310,718,462x = 71,385,617,390,142,016,716,800
  5. Step 5: Solve for x
    x = 71,385,617,390,142,016,716,800/128,310,718,462
  6. Step 6: Final answer
    x = 556,349,603,881.95

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.