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Finding the Third Proportional to 128,312,128 and 299,405,312

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Solution

The third proportional to 128,312,128 and 299,405,312 is: 698,636,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,312,128 : 299,405,312 = 299,405,312 : x
  2. Step 2: Convert to fraction form
    128,312,128/299,405,312 = 299,405,312/x
  3. Step 3: Cross multiply
    128,312,128x = 299,405,312 × 299,405,312
  4. Step 4: Simplify right side
    128,312,128x = 89,643,540,853,817,344
  5. Step 5: Solve for x
    x = 89,643,540,853,817,344/128,312,128
  6. Step 6: Final answer
    x = 698,636,537.72

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.