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Finding the Third Proportional to 677,684.25 and 993,890.25

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Solution

The third proportional to 677,684.25 and 993,890.25 is: 1,457,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,684.25 : 993,890.25 = 993,890.25 : x
  2. Step 2: Convert to fraction form
    677,684.25/993,890.25 = 993,890.25/x
  3. Step 3: Cross multiply
    677,684.25x = 993,890.25 × 993,890.25
  4. Step 4: Simplify right side
    677,684.25x = 987,817,829,045.06
  5. Step 5: Solve for x
    x = 987,817,829,045.06/677,684.25
  6. Step 6: Final answer
    x = 1,457,637.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.