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Finding the Third Proportional to 432,312 and 654,420

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Solution

The third proportional to 432,312 and 654,420 is: 990,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,312 : 654,420 = 654,420 : x
  2. Step 2: Convert to fraction form
    432,312/654,420 = 654,420/x
  3. Step 3: Cross multiply
    432,312x = 654,420 × 654,420
  4. Step 4: Simplify right side
    432,312x = 428,265,536,400
  5. Step 5: Solve for x
    x = 428,265,536,400/432,312
  6. Step 6: Final answer
    x = 990,639.95

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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.