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Finding the Third Proportional to 830,128.50 and 1,269,280.13

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Solution

The third proportional to 830,128.50 and 1,269,280.13 is: 1,940,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,128.50 : 1,269,280.13 = 1,269,280.13 : x
  2. Step 2: Convert to fraction form
    830,128.50/1,269,280.13 = 1,269,280.13/x
  3. Step 3: Cross multiply
    830,128.50x = 1,269,280.13 × 1,269,280.13
  4. Step 4: Simplify right side
    830,128.50x = 1,611,072,035,720.02
  5. Step 5: Solve for x
    x = 1,611,072,035,720.02/830,128.50
  6. Step 6: Final answer
    x = 1,940,750.18

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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.