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Finding the Third Proportional to 72,458.50 and 154,547

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Solution

The third proportional to 72,458.50 and 154,547 is: 329,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,458.50 : 154,547 = 154,547 : x
  2. Step 2: Convert to fraction form
    72,458.50/154,547 = 154,547/x
  3. Step 3: Cross multiply
    72,458.50x = 154,547 × 154,547
  4. Step 4: Simplify right side
    72,458.50x = 23,884,775,209
  5. Step 5: Solve for x
    x = 23,884,775,209/72,458.50
  6. Step 6: Final answer
    x = 329,633.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.