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Finding the Third Proportional to 236,560 and 510,640

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Solution

The third proportional to 236,560 and 510,640 is: 1,102,270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,560 : 510,640 = 510,640 : x
  2. Step 2: Convert to fraction form
    236,560/510,640 = 510,640/x
  3. Step 3: Cross multiply
    236,560x = 510,640 × 510,640
  4. Step 4: Simplify right side
    236,560x = 260,753,209,600
  5. Step 5: Solve for x
    x = 260,753,209,600/236,560
  6. Step 6: Final answer
    x = 1,102,270.92

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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.