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Finding the Third Proportional to 128,960,104 and 272,475,728

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Solution

The third proportional to 128,960,104 and 272,475,728 is: 575,705,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,960,104 : 272,475,728 = 272,475,728 : x
  2. Step 2: Convert to fraction form
    128,960,104/272,475,728 = 272,475,728/x
  3. Step 3: Cross multiply
    128,960,104x = 272,475,728 × 272,475,728
  4. Step 4: Simplify right side
    128,960,104x = 74,243,022,349,129,984
  5. Step 5: Solve for x
    x = 74,243,022,349,129,984/128,960,104
  6. Step 6: Final answer
    x = 575,705,354.19

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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.