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Finding the Third Proportional to 64,948 and 139,566

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Solution

The third proportional to 64,948 and 139,566 is: 299,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,948 : 139,566 = 139,566 : x
  2. Step 2: Convert to fraction form
    64,948/139,566 = 139,566/x
  3. Step 3: Cross multiply
    64,948x = 139,566 × 139,566
  4. Step 4: Simplify right side
    64,948x = 19,478,668,356
  5. Step 5: Solve for x
    x = 19,478,668,356/64,948
  6. Step 6: Final answer
    x = 299,911.75

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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.