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Finding the Third Proportional to 256,886,640 and 366,196,464

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Solution

The third proportional to 256,886,640 and 366,196,464 is: 522,019,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,886,640 : 366,196,464 = 366,196,464 : x
  2. Step 2: Convert to fraction form
    256,886,640/366,196,464 = 366,196,464/x
  3. Step 3: Cross multiply
    256,886,640x = 366,196,464 × 366,196,464
  4. Step 4: Simplify right side
    256,886,640x = 134,099,850,246,103,296
  5. Step 5: Solve for x
    x = 134,099,850,246,103,296/256,886,640
  6. Step 6: Final answer
    x = 522,019,557.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.