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Finding the Third Proportional to 64,642,056 and 139,539,684

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Solution

The third proportional to 64,642,056 and 139,539,684 is: 301,217,575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,642,056 : 139,539,684 = 139,539,684 : x
  2. Step 2: Convert to fraction form
    64,642,056/139,539,684 = 139,539,684/x
  3. Step 3: Cross multiply
    64,642,056x = 139,539,684 × 139,539,684
  4. Step 4: Simplify right side
    64,642,056x = 19,471,323,410,819,856
  5. Step 5: Solve for x
    x = 19,471,323,410,819,856/64,642,056
  6. Step 6: Final answer
    x = 301,217,575.92

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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.