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Finding the Third Proportional to 30,454 and 45,557

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Solution

The third proportional to 30,454 and 45,557 is: 68,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454 : 45,557 = 45,557 : x
  2. Step 2: Convert to fraction form
    30,454/45,557 = 45,557/x
  3. Step 3: Cross multiply
    30,454x = 45,557 × 45,557
  4. Step 4: Simplify right side
    30,454x = 2,075,440,249
  5. Step 5: Solve for x
    x = 2,075,440,249/30,454
  6. Step 6: Final answer
    x = 68,150.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.