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Finding the Third Proportional to 30,240 and 64,863

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Solution

The third proportional to 30,240 and 64,863 is: 139,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,240 : 64,863 = 64,863 : x
  2. Step 2: Convert to fraction form
    30,240/64,863 = 64,863/x
  3. Step 3: Cross multiply
    30,240x = 64,863 × 64,863
  4. Step 4: Simplify right side
    30,240x = 4,207,208,769
  5. Step 5: Solve for x
    x = 4,207,208,769/30,240
  6. Step 6: Final answer
    x = 139,127.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.