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Finding the Third Proportional to 678,130 and 992,861

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Solution

The third proportional to 678,130 and 992,861 is: 1,453,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,130 : 992,861 = 992,861 : x
  2. Step 2: Convert to fraction form
    678,130/992,861 = 992,861/x
  3. Step 3: Cross multiply
    678,130x = 992,861 × 992,861
  4. Step 4: Simplify right side
    678,130x = 985,772,965,321
  5. Step 5: Solve for x
    x = 985,772,965,321/678,130
  6. Step 6: Final answer
    x = 1,453,663.70

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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.