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Finding the Third Proportional to 489,106 and 1,152,750

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Solution

The third proportional to 489,106 and 1,152,750 is: 2,716,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,106 : 1,152,750 = 1,152,750 : x
  2. Step 2: Convert to fraction form
    489,106/1,152,750 = 1,152,750/x
  3. Step 3: Cross multiply
    489,106x = 1,152,750 × 1,152,750
  4. Step 4: Simplify right side
    489,106x = 1,328,832,562,500
  5. Step 5: Solve for x
    x = 1,328,832,562,500/489,106
  6. Step 6: Final answer
    x = 2,716,860.07

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.