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Finding the Third Proportional to 64,167,983 and 138,564,831

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Solution

The third proportional to 64,167,983 and 138,564,831 is: 299,217,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,167,983 : 138,564,831 = 138,564,831 : x
  2. Step 2: Convert to fraction form
    64,167,983/138,564,831 = 138,564,831/x
  3. Step 3: Cross multiply
    64,167,983x = 138,564,831 × 138,564,831
  4. Step 4: Simplify right side
    64,167,983x = 19,200,212,390,058,560
  5. Step 5: Solve for x
    x = 19,200,212,390,058,560/64,167,983
  6. Step 6: Final answer
    x = 299,217,950.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.