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Finding the Third Proportional to 435,406 and 672,526

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Solution

The third proportional to 435,406 and 672,526 is: 1,038,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,406 : 672,526 = 672,526 : x
  2. Step 2: Convert to fraction form
    435,406/672,526 = 672,526/x
  3. Step 3: Cross multiply
    435,406x = 672,526 × 672,526
  4. Step 4: Simplify right side
    435,406x = 452,291,220,676
  5. Step 5: Solve for x
    x = 452,291,220,676/435,406
  6. Step 6: Final answer
    x = 1,038,780.40

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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.