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Finding the Third Proportional to 345,216 and 714,395

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Solution

The third proportional to 345,216 and 714,395 is: 1,478,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,216 : 714,395 = 714,395 : x
  2. Step 2: Convert to fraction form
    345,216/714,395 = 714,395/x
  3. Step 3: Cross multiply
    345,216x = 714,395 × 714,395
  4. Step 4: Simplify right side
    345,216x = 510,360,216,025
  5. Step 5: Solve for x
    x = 510,360,216,025/345,216
  6. Step 6: Final answer
    x = 1,478,379.38

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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.