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Finding the Third Proportional to 489,026 and 748,069

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Solution

The third proportional to 489,026 and 748,069 is: 1,144,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,026 : 748,069 = 748,069 : x
  2. Step 2: Convert to fraction form
    489,026/748,069 = 748,069/x
  3. Step 3: Cross multiply
    489,026x = 748,069 × 748,069
  4. Step 4: Simplify right side
    489,026x = 559,607,228,761
  5. Step 5: Solve for x
    x = 559,607,228,761/489,026
  6. Step 6: Final answer
    x = 1,144,330.22

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