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Finding the Third Proportional to 342,470 and 708,808

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Solution

The third proportional to 342,470 and 708,808 is: 1,467,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,470 : 708,808 = 708,808 : x
  2. Step 2: Convert to fraction form
    342,470/708,808 = 708,808/x
  3. Step 3: Cross multiply
    342,470x = 708,808 × 708,808
  4. Step 4: Simplify right side
    342,470x = 502,408,780,864
  5. Step 5: Solve for x
    x = 502,408,780,864/342,470
  6. Step 6: Final answer
    x = 1,467,015.45

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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.