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Finding the Third Proportional to 345,188 and 714,343

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Solution

The third proportional to 345,188 and 714,343 is: 1,478,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,188 : 714,343 = 714,343 : x
  2. Step 2: Convert to fraction form
    345,188/714,343 = 714,343/x
  3. Step 3: Cross multiply
    345,188x = 714,343 × 714,343
  4. Step 4: Simplify right side
    345,188x = 510,285,921,649
  5. Step 5: Solve for x
    x = 510,285,921,649/345,188
  6. Step 6: Final answer
    x = 1,478,284.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.