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Finding the Third Proportional to 117,557 and 277,461

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Solution

The third proportional to 117,557 and 277,461 is: 654,870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,557 : 277,461 = 277,461 : x
  2. Step 2: Convert to fraction form
    117,557/277,461 = 277,461/x
  3. Step 3: Cross multiply
    117,557x = 277,461 × 277,461
  4. Step 4: Simplify right side
    117,557x = 76,984,606,521
  5. Step 5: Solve for x
    x = 76,984,606,521/117,557
  6. Step 6: Final answer
    x = 654,870.46

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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.