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Finding the Third Proportional to 154,303 and 240,477

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Solution

The third proportional to 154,303 and 240,477 is: 374,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,303 : 240,477 = 240,477 : x
  2. Step 2: Convert to fraction form
    154,303/240,477 = 240,477/x
  3. Step 3: Cross multiply
    154,303x = 240,477 × 240,477
  4. Step 4: Simplify right side
    154,303x = 57,829,187,529
  5. Step 5: Solve for x
    x = 57,829,187,529/154,303
  6. Step 6: Final answer
    x = 374,776.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.