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Finding the Third Proportional to 309,439,968 and 468,146,288

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Solution

The third proportional to 309,439,968 and 468,146,288 is: 708,250,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,439,968 : 468,146,288 = 468,146,288 : x
  2. Step 2: Convert to fraction form
    309,439,968/468,146,288 = 468,146,288/x
  3. Step 3: Cross multiply
    309,439,968x = 468,146,288 × 468,146,288
  4. Step 4: Simplify right side
    309,439,968x = 219,160,946,968,178,944
  5. Step 5: Solve for x
    x = 219,160,946,968,178,944/309,439,968
  6. Step 6: Final answer
    x = 708,250,289.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.