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Finding the Third Proportional to 145,217.81 and 312,685.31

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Solution

The third proportional to 145,217.81 and 312,685.31 is: 673,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,217.81 : 312,685.31 = 312,685.31 : x
  2. Step 2: Convert to fraction form
    145,217.81/312,685.31 = 312,685.31/x
  3. Step 3: Cross multiply
    145,217.81x = 312,685.31 × 312,685.31
  4. Step 4: Simplify right side
    145,217.81x = 97,772,104,653.22
  5. Step 5: Solve for x
    x = 97,772,104,653.22/145,217.81
  6. Step 6: Final answer
    x = 673,279.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.