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Finding the Third Proportional to 128,032,512 and 280,350,336

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Solution

The third proportional to 128,032,512 and 280,350,336 is: 613,877,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,032,512 : 280,350,336 = 280,350,336 : x
  2. Step 2: Convert to fraction form
    128,032,512/280,350,336 = 280,350,336/x
  3. Step 3: Cross multiply
    128,032,512x = 280,350,336 × 280,350,336
  4. Step 4: Simplify right side
    128,032,512x = 78,596,310,895,312,896
  5. Step 5: Solve for x
    x = 78,596,310,895,312,896/128,032,512
  6. Step 6: Final answer
    x = 613,877,753.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.