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Finding the Third Proportional to 289,060 and 410,840

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Solution

The third proportional to 289,060 and 410,840 is: 583,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,060 : 410,840 = 410,840 : x
  2. Step 2: Convert to fraction form
    289,060/410,840 = 410,840/x
  3. Step 3: Cross multiply
    289,060x = 410,840 × 410,840
  4. Step 4: Simplify right side
    289,060x = 168,789,505,600
  5. Step 5: Solve for x
    x = 168,789,505,600/289,060
  6. Step 6: Final answer
    x = 583,925.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.