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Finding the Third Proportional to 432,156 and 654,196

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Solution

The third proportional to 432,156 and 654,196 is: 990,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,156 : 654,196 = 654,196 : x
  2. Step 2: Convert to fraction form
    432,156/654,196 = 654,196/x
  3. Step 3: Cross multiply
    432,156x = 654,196 × 654,196
  4. Step 4: Simplify right side
    432,156x = 427,972,406,416
  5. Step 5: Solve for x
    x = 427,972,406,416/432,156
  6. Step 6: Final answer
    x = 990,319.25

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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.