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Finding the Third Proportional to 121,312 and 263,072

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Solution

The third proportional to 121,312 and 263,072 is: 570,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,312 : 263,072 = 263,072 : x
  2. Step 2: Convert to fraction form
    121,312/263,072 = 263,072/x
  3. Step 3: Cross multiply
    121,312x = 263,072 × 263,072
  4. Step 4: Simplify right side
    121,312x = 69,206,877,184
  5. Step 5: Solve for x
    x = 69,206,877,184/121,312
  6. Step 6: Final answer
    x = 570,486.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.