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Finding the Third Proportional to 288,094 and 455,820

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Solution

The third proportional to 288,094 and 455,820 is: 721,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,094 : 455,820 = 455,820 : x
  2. Step 2: Convert to fraction form
    288,094/455,820 = 455,820/x
  3. Step 3: Cross multiply
    288,094x = 455,820 × 455,820
  4. Step 4: Simplify right side
    288,094x = 207,771,872,400
  5. Step 5: Solve for x
    x = 207,771,872,400/288,094
  6. Step 6: Final answer
    x = 721,194.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.