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Finding the Third Proportional to 128,125,352 and 276,406,096

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Solution

The third proportional to 128,125,352 and 276,406,096 is: 596,293,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,125,352 : 276,406,096 = 276,406,096 : x
  2. Step 2: Convert to fraction form
    128,125,352/276,406,096 = 276,406,096/x
  3. Step 3: Cross multiply
    128,125,352x = 276,406,096 × 276,406,096
  4. Step 4: Simplify right side
    128,125,352x = 76,400,329,905,961,216
  5. Step 5: Solve for x
    x = 76,400,329,905,961,216/128,125,352
  6. Step 6: Final answer
    x = 596,293,619.59

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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.