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Finding the Third Proportional to 55,390,633 and 128,219,400

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Solution

The third proportional to 55,390,633 and 128,219,400 is: 296,804,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,390,633 : 128,219,400 = 128,219,400 : x
  2. Step 2: Convert to fraction form
    55,390,633/128,219,400 = 128,219,400/x
  3. Step 3: Cross multiply
    55,390,633x = 128,219,400 × 128,219,400
  4. Step 4: Simplify right side
    55,390,633x = 16,440,214,536,360,000
  5. Step 5: Solve for x
    x = 16,440,214,536,360,000/55,390,633
  6. Step 6: Final answer
    x = 296,804,958.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.