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Finding the Third Proportional to 489,246 and 748,455

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Solution

The third proportional to 489,246 and 748,455 is: 1,144,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,246 : 748,455 = 748,455 : x
  2. Step 2: Convert to fraction form
    489,246/748,455 = 748,455/x
  3. Step 3: Cross multiply
    489,246x = 748,455 × 748,455
  4. Step 4: Simplify right side
    489,246x = 560,184,887,025
  5. Step 5: Solve for x
    x = 560,184,887,025/489,246
  6. Step 6: Final answer
    x = 1,144,996.36

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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.