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Finding the Third Proportional to 121,370 and 248,572

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Solution

The third proportional to 121,370 and 248,572 is: 509,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,370 : 248,572 = 248,572 : x
  2. Step 2: Convert to fraction form
    121,370/248,572 = 248,572/x
  3. Step 3: Cross multiply
    121,370x = 248,572 × 248,572
  4. Step 4: Simplify right side
    121,370x = 61,788,039,184
  5. Step 5: Solve for x
    x = 61,788,039,184/121,370
  6. Step 6: Final answer
    x = 509,088.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.