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Finding the Third Proportional to 221,409 and 334,746

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Solution

The third proportional to 221,409 and 334,746 is: 506,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,409 : 334,746 = 334,746 : x
  2. Step 2: Convert to fraction form
    221,409/334,746 = 334,746/x
  3. Step 3: Cross multiply
    221,409x = 334,746 × 334,746
  4. Step 4: Simplify right side
    221,409x = 112,054,884,516
  5. Step 5: Solve for x
    x = 112,054,884,516/221,409
  6. Step 6: Final answer
    x = 506,099.05

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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.