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Finding the Third Proportional to 69,203,378 and 147,351,748

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Solution

The third proportional to 69,203,378 and 147,351,748 is: 313,749,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,203,378 : 147,351,748 = 147,351,748 : x
  2. Step 2: Convert to fraction form
    69,203,378/147,351,748 = 147,351,748/x
  3. Step 3: Cross multiply
    69,203,378x = 147,351,748 × 147,351,748
  4. Step 4: Simplify right side
    69,203,378x = 21,712,537,638,655,504
  5. Step 5: Solve for x
    x = 21,712,537,638,655,504/69,203,378
  6. Step 6: Final answer
    x = 313,749,679.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.