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Finding the Third Proportional to 678,190 and 992,985

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Solution

The third proportional to 678,190 and 992,985 is: 1,453,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,190 : 992,985 = 992,985 : x
  2. Step 2: Convert to fraction form
    678,190/992,985 = 992,985/x
  3. Step 3: Cross multiply
    678,190x = 992,985 × 992,985
  4. Step 4: Simplify right side
    678,190x = 986,019,210,225
  5. Step 5: Solve for x
    x = 986,019,210,225/678,190
  6. Step 6: Final answer
    x = 1,453,898.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.