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Finding the Third Proportional to 253,146 and 556,820

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Solution

The third proportional to 253,146 and 556,820 is: 1,224,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,146 : 556,820 = 556,820 : x
  2. Step 2: Convert to fraction form
    253,146/556,820 = 556,820/x
  3. Step 3: Cross multiply
    253,146x = 556,820 × 556,820
  4. Step 4: Simplify right side
    253,146x = 310,048,512,400
  5. Step 5: Solve for x
    x = 310,048,512,400/253,146
  6. Step 6: Final answer
    x = 1,224,781.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.