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Finding the Third Proportional to 288,157.50 and 424,784.25

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Solution

The third proportional to 288,157.50 and 424,784.25 is: 626,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,157.50 : 424,784.25 = 424,784.25 : x
  2. Step 2: Convert to fraction form
    288,157.50/424,784.25 = 424,784.25/x
  3. Step 3: Cross multiply
    288,157.50x = 424,784.25 × 424,784.25
  4. Step 4: Simplify right side
    288,157.50x = 180,441,659,048.06
  5. Step 5: Solve for x
    x = 180,441,659,048.06/288,157.50
  6. Step 6: Final answer
    x = 626,191.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.