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Finding the Third Proportional to 317,552 and 678,772

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Solution

The third proportional to 317,552 and 678,772 is: 1,450,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,552 : 678,772 = 678,772 : x
  2. Step 2: Convert to fraction form
    317,552/678,772 = 678,772/x
  3. Step 3: Cross multiply
    317,552x = 678,772 × 678,772
  4. Step 4: Simplify right side
    317,552x = 460,731,427,984
  5. Step 5: Solve for x
    x = 460,731,427,984/317,552
  6. Step 6: Final answer
    x = 1,450,884.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.