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Finding the Third Proportional to 208,420 and 456,056

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Solution

The third proportional to 208,420 and 456,056 is: 997,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,420 : 456,056 = 456,056 : x
  2. Step 2: Convert to fraction form
    208,420/456,056 = 456,056/x
  3. Step 3: Cross multiply
    208,420x = 456,056 × 456,056
  4. Step 4: Simplify right side
    208,420x = 207,987,075,136
  5. Step 5: Solve for x
    x = 207,987,075,136/208,420
  6. Step 6: Final answer
    x = 997,922.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.