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Finding the Third Proportional to 648,913 and 1,397,663

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Solution

The third proportional to 648,913 and 1,397,663 is: 3,010,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,913 : 1,397,663 = 1,397,663 : x
  2. Step 2: Convert to fraction form
    648,913/1,397,663 = 1,397,663/x
  3. Step 3: Cross multiply
    648,913x = 1,397,663 × 1,397,663
  4. Step 4: Simplify right side
    648,913x = 1,953,461,861,569
  5. Step 5: Solve for x
    x = 1,953,461,861,569/648,913
  6. Step 6: Final answer
    x = 3,010,360.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.