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Finding the Third Proportional to 272,856 and 578,160

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Solution

The third proportional to 272,856 and 578,160 is: 1,225,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,856 : 578,160 = 578,160 : x
  2. Step 2: Convert to fraction form
    272,856/578,160 = 578,160/x
  3. Step 3: Cross multiply
    272,856x = 578,160 × 578,160
  4. Step 4: Simplify right side
    272,856x = 334,268,985,600
  5. Step 5: Solve for x
    x = 334,268,985,600/272,856
  6. Step 6: Final answer
    x = 1,225,074.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.