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Finding the Third Proportional to 62,982,880 and 138,072,648

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Solution

The third proportional to 62,982,880 and 138,072,648 is: 302,686,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,982,880 : 138,072,648 = 138,072,648 : x
  2. Step 2: Convert to fraction form
    62,982,880/138,072,648 = 138,072,648/x
  3. Step 3: Cross multiply
    62,982,880x = 138,072,648 × 138,072,648
  4. Step 4: Simplify right side
    62,982,880x = 19,064,056,125,731,904
  5. Step 5: Solve for x
    x = 19,064,056,125,731,904/62,982,880
  6. Step 6: Final answer
    x = 302,686,319.29

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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.