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Finding the Third Proportional to 117,582 and 277,515

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Solution

The third proportional to 117,582 and 277,515 is: 654,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,582 : 277,515 = 277,515 : x
  2. Step 2: Convert to fraction form
    117,582/277,515 = 277,515/x
  3. Step 3: Cross multiply
    117,582x = 277,515 × 277,515
  4. Step 4: Simplify right side
    117,582x = 77,014,575,225
  5. Step 5: Solve for x
    x = 77,014,575,225/117,582
  6. Step 6: Final answer
    x = 654,986.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.