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Finding the Third Proportional to 106,120.50 and 160,547

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Solution

The third proportional to 106,120.50 and 160,547 is: 242,887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,120.50 : 160,547 = 160,547 : x
  2. Step 2: Convert to fraction form
    106,120.50/160,547 = 160,547/x
  3. Step 3: Cross multiply
    106,120.50x = 160,547 × 160,547
  4. Step 4: Simplify right side
    106,120.50x = 25,775,339,209
  5. Step 5: Solve for x
    x = 25,775,339,209/106,120.50
  6. Step 6: Final answer
    x = 242,887.46

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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.