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Finding the Third Proportional to 138,417,718 and 326,748,255

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Solution

The third proportional to 138,417,718 and 326,748,255 is: 771,320,490.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,417,718 : 326,748,255 = 326,748,255 : x
  2. Step 2: Convert to fraction form
    138,417,718/326,748,255 = 326,748,255/x
  3. Step 3: Cross multiply
    138,417,718x = 326,748,255 × 326,748,255
  4. Step 4: Simplify right side
    138,417,718x = 106,764,422,145,545,024
  5. Step 5: Solve for x
    x = 106,764,422,145,545,024/138,417,718
  6. Step 6: Final answer
    x = 771,320,490.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.