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Finding the Third Proportional to 435,402 and 672,520

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Solution

The third proportional to 435,402 and 672,520 is: 1,038,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,402 : 672,520 = 672,520 : x
  2. Step 2: Convert to fraction form
    435,402/672,520 = 672,520/x
  3. Step 3: Cross multiply
    435,402x = 672,520 × 672,520
  4. Step 4: Simplify right side
    435,402x = 452,283,150,400
  5. Step 5: Solve for x
    x = 452,283,150,400/435,402
  6. Step 6: Final answer
    x = 1,038,771.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.