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Finding the Third Proportional to 245,718 and 370,308

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Solution

The third proportional to 245,718 and 370,308 is: 558,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,718 : 370,308 = 370,308 : x
  2. Step 2: Convert to fraction form
    245,718/370,308 = 370,308/x
  3. Step 3: Cross multiply
    245,718x = 370,308 × 370,308
  4. Step 4: Simplify right side
    245,718x = 137,128,014,864
  5. Step 5: Solve for x
    x = 137,128,014,864/245,718
  6. Step 6: Final answer
    x = 558,070.69

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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.