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Finding the Third Proportional to 672,666.75 and 983,100.38

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Solution

The third proportional to 672,666.75 and 983,100.38 is: 1,436,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,666.75 : 983,100.38 = 983,100.38 : x
  2. Step 2: Convert to fraction form
    672,666.75/983,100.38 = 983,100.38/x
  3. Step 3: Cross multiply
    672,666.75x = 983,100.38 × 983,100.38
  4. Step 4: Simplify right side
    672,666.75x = 966,486,347,325.14
  5. Step 5: Solve for x
    x = 966,486,347,325.14/672,666.75
  6. Step 6: Final answer
    x = 1,436,798.16

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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.