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Finding the Third Proportional to 64,570 and 139,863

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Solution

The third proportional to 64,570 and 139,863 is: 302,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,570 : 139,863 = 139,863 : x
  2. Step 2: Convert to fraction form
    64,570/139,863 = 139,863/x
  3. Step 3: Cross multiply
    64,570x = 139,863 × 139,863
  4. Step 4: Simplify right side
    64,570x = 19,561,658,769
  5. Step 5: Solve for x
    x = 19,561,658,769/64,570
  6. Step 6: Final answer
    x = 302,952.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.