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Finding the Third Proportional to 155,205 and 246,172.50

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Solution

The third proportional to 155,205 and 246,172.50 is: 390,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,205 : 246,172.50 = 246,172.50 : x
  2. Step 2: Convert to fraction form
    155,205/246,172.50 = 246,172.50/x
  3. Step 3: Cross multiply
    155,205x = 246,172.50 × 246,172.50
  4. Step 4: Simplify right side
    155,205x = 60,600,899,756.25
  5. Step 5: Solve for x
    x = 60,600,899,756.25/155,205
  6. Step 6: Final answer
    x = 390,457.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.