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Finding the Third Proportional to 145,077.75 and 315,078.19

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Solution

The third proportional to 145,077.75 and 315,078.19 is: 684,283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,077.75 : 315,078.19 = 315,078.19 : x
  2. Step 2: Convert to fraction form
    145,077.75/315,078.19 = 315,078.19/x
  3. Step 3: Cross multiply
    145,077.75x = 315,078.19 × 315,078.19
  4. Step 4: Simplify right side
    145,077.75x = 99,274,264,238.29
  5. Step 5: Solve for x
    x = 99,274,264,238.29/145,077.75
  6. Step 6: Final answer
    x = 684,283.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.