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Finding the Third Proportional to 432,142.50 and 654,176.25

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Solution

The third proportional to 432,142.50 and 654,176.25 is: 990,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,142.50 : 654,176.25 = 654,176.25 : x
  2. Step 2: Convert to fraction form
    432,142.50/654,176.25 = 654,176.25/x
  3. Step 3: Cross multiply
    432,142.50x = 654,176.25 × 654,176.25
  4. Step 4: Simplify right side
    432,142.50x = 427,946,566,064.06
  5. Step 5: Solve for x
    x = 427,946,566,064.06/432,142.50
  6. Step 6: Final answer
    x = 990,290.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.