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Finding the Third Proportional to 358,280 and 782,056

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Solution

The third proportional to 358,280 and 782,056 is: 1,707,077.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,280 : 782,056 = 782,056 : x
  2. Step 2: Convert to fraction form
    358,280/782,056 = 782,056/x
  3. Step 3: Cross multiply
    358,280x = 782,056 × 782,056
  4. Step 4: Simplify right side
    358,280x = 611,611,587,136
  5. Step 5: Solve for x
    x = 611,611,587,136/358,280
  6. Step 6: Final answer
    x = 1,707,077.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.