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Finding the Third Proportional to 648,506.88 and 923,810.06

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Solution

The third proportional to 648,506.88 and 923,810.06 is: 1,315,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,506.88 : 923,810.06 = 923,810.06 : x
  2. Step 2: Convert to fraction form
    648,506.88/923,810.06 = 923,810.06/x
  3. Step 3: Cross multiply
    648,506.88x = 923,810.06 × 923,810.06
  4. Step 4: Simplify right side
    648,506.88x = 853,425,031,576.25
  5. Step 5: Solve for x
    x = 853,425,031,576.25/648,506.88
  6. Step 6: Final answer
    x = 1,315,984.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.