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Finding the Third Proportional to 678,207 and 1,058,295

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Solution

The third proportional to 678,207 and 1,058,295 is: 1,651,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,207 : 1,058,295 = 1,058,295 : x
  2. Step 2: Convert to fraction form
    678,207/1,058,295 = 1,058,295/x
  3. Step 3: Cross multiply
    678,207x = 1,058,295 × 1,058,295
  4. Step 4: Simplify right side
    678,207x = 1,119,988,307,025
  5. Step 5: Solve for x
    x = 1,119,988,307,025/678,207
  6. Step 6: Final answer
    x = 1,651,395.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.