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Finding the Third Proportional to 317,776 and 445,362

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Solution

The third proportional to 317,776 and 445,362 is: 624,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,776 : 445,362 = 445,362 : x
  2. Step 2: Convert to fraction form
    317,776/445,362 = 445,362/x
  3. Step 3: Cross multiply
    317,776x = 445,362 × 445,362
  4. Step 4: Simplify right side
    317,776x = 198,347,311,044
  5. Step 5: Solve for x
    x = 198,347,311,044/317,776
  6. Step 6: Final answer
    x = 624,173.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.