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Finding the Third Proportional to 128,960,108 and 272,475,736

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Solution

The third proportional to 128,960,108 and 272,475,736 is: 575,705,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,960,108 : 272,475,736 = 272,475,736 : x
  2. Step 2: Convert to fraction form
    128,960,108/272,475,736 = 272,475,736/x
  3. Step 3: Cross multiply
    128,960,108x = 272,475,736 × 272,475,736
  4. Step 4: Simplify right side
    128,960,108x = 74,243,026,708,741,696
  5. Step 5: Solve for x
    x = 74,243,026,708,741,696/128,960,108
  6. Step 6: Final answer
    x = 575,705,370.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.