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Finding the Third Proportional to 145,299.02 and 312,862.92

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Solution

The third proportional to 145,299.02 and 312,862.92 is: 673,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,299.02 : 312,862.92 = 312,862.92 : x
  2. Step 2: Convert to fraction form
    145,299.02/312,862.92 = 312,862.92/x
  3. Step 3: Cross multiply
    145,299.02x = 312,862.92 × 312,862.92
  4. Step 4: Simplify right side
    145,299.02x = 97,883,207,884.16
  5. Step 5: Solve for x
    x = 97,883,207,884.16/145,299.02
  6. Step 6: Final answer
    x = 673,667.35

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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.