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Finding the Third Proportional to 65,378,718 and 137,533,383

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Solution

The third proportional to 65,378,718 and 137,533,383 is: 289,320,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,378,718 : 137,533,383 = 137,533,383 : x
  2. Step 2: Convert to fraction form
    65,378,718/137,533,383 = 137,533,383/x
  3. Step 3: Cross multiply
    65,378,718x = 137,533,383 × 137,533,383
  4. Step 4: Simplify right side
    65,378,718x = 18,915,431,439,424,688
  5. Step 5: Solve for x
    x = 18,915,431,439,424,688/65,378,718
  6. Step 6: Final answer
    x = 289,320,929.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.