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Finding the Third Proportional to 357,442 and 555,763

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Solution

The third proportional to 357,442 and 555,763 is: 864,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,442 : 555,763 = 555,763 : x
  2. Step 2: Convert to fraction form
    357,442/555,763 = 555,763/x
  3. Step 3: Cross multiply
    357,442x = 555,763 × 555,763
  4. Step 4: Simplify right side
    357,442x = 308,872,512,169
  5. Step 5: Solve for x
    x = 308,872,512,169/357,442
  6. Step 6: Final answer
    x = 864,119.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.