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Finding the Third Proportional to 311,893 and 470,056

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Solution

The third proportional to 311,893 and 470,056 is: 708,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,893 : 470,056 = 470,056 : x
  2. Step 2: Convert to fraction form
    311,893/470,056 = 470,056/x
  3. Step 3: Cross multiply
    311,893x = 470,056 × 470,056
  4. Step 4: Simplify right side
    311,893x = 220,952,643,136
  5. Step 5: Solve for x
    x = 220,952,643,136/311,893
  6. Step 6: Final answer
    x = 708,424.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.