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Finding the Third Proportional to 260,088 and 489,072

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Solution

The third proportional to 260,088 and 489,072 is: 919,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,088 : 489,072 = 489,072 : x
  2. Step 2: Convert to fraction form
    260,088/489,072 = 489,072/x
  3. Step 3: Cross multiply
    260,088x = 489,072 × 489,072
  4. Step 4: Simplify right side
    260,088x = 239,191,421,184
  5. Step 5: Solve for x
    x = 239,191,421,184/260,088
  6. Step 6: Final answer
    x = 919,655.74

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.