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Finding the Third Proportional to 120,584 and 257,776

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Solution

The third proportional to 120,584 and 257,776 is: 551,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,584 : 257,776 = 257,776 : x
  2. Step 2: Convert to fraction form
    120,584/257,776 = 257,776/x
  3. Step 3: Cross multiply
    120,584x = 257,776 × 257,776
  4. Step 4: Simplify right side
    120,584x = 66,448,466,176
  5. Step 5: Solve for x
    x = 66,448,466,176/120,584
  6. Step 6: Final answer
    x = 551,055.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.