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Finding the Third Proportional to 339,642 and 712,332

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Solution

The third proportional to 339,642 and 712,332 is: 1,493,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,642 : 712,332 = 712,332 : x
  2. Step 2: Convert to fraction form
    339,642/712,332 = 712,332/x
  3. Step 3: Cross multiply
    339,642x = 712,332 × 712,332
  4. Step 4: Simplify right side
    339,642x = 507,416,878,224
  5. Step 5: Solve for x
    x = 507,416,878,224/339,642
  6. Step 6: Final answer
    x = 1,493,975.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.