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Finding the Third Proportional to 64,456,957,440 and 138,709,438,308

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Solution

The third proportional to 64,456,957,440 and 138,709,438,308 is: 298,498,549,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,456,957,440 : 138,709,438,308 = 138,709,438,308 : x
  2. Step 2: Convert to fraction form
    64,456,957,440/138,709,438,308 = 138,709,438,308/x
  3. Step 3: Cross multiply
    64,456,957,440x = 138,709,438,308 × 138,709,438,308
  4. Step 4: Simplify right side
    64,456,957,440x = 19,240,308,275,720,858,107,904
  5. Step 5: Solve for x
    x = 19,240,308,275,720,858,107,904/64,456,957,440
  6. Step 6: Final answer
    x = 298,498,549,107.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.