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Finding the Third Proportional to 98,820 and 145,620

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Solution

The third proportional to 98,820 and 145,620 is: 214,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,820 : 145,620 = 145,620 : x
  2. Step 2: Convert to fraction form
    98,820/145,620 = 145,620/x
  3. Step 3: Cross multiply
    98,820x = 145,620 × 145,620
  4. Step 4: Simplify right side
    98,820x = 21,205,184,400
  5. Step 5: Solve for x
    x = 21,205,184,400/98,820
  6. Step 6: Final answer
    x = 214,583.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.