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Finding the Third Proportional to 488,999 and 748,028

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Solution

The third proportional to 488,999 and 748,028 is: 1,144,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,999 : 748,028 = 748,028 : x
  2. Step 2: Convert to fraction form
    488,999/748,028 = 748,028/x
  3. Step 3: Cross multiply
    488,999x = 748,028 × 748,028
  4. Step 4: Simplify right side
    488,999x = 559,545,888,784
  5. Step 5: Solve for x
    x = 559,545,888,784/488,999
  6. Step 6: Final answer
    x = 1,144,267.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.