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Finding the Third Proportional to 299,302.50 and 354,661.50

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Solution

The third proportional to 299,302.50 and 354,661.50 is: 420,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,302.50 : 354,661.50 = 354,661.50 : x
  2. Step 2: Convert to fraction form
    299,302.50/354,661.50 = 354,661.50/x
  3. Step 3: Cross multiply
    299,302.50x = 354,661.50 × 354,661.50
  4. Step 4: Simplify right side
    299,302.50x = 125,784,779,582.25
  5. Step 5: Solve for x
    x = 125,784,779,582.25/299,302.50
  6. Step 6: Final answer
    x = 420,259.70

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.