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Finding the Third Proportional to 435,358 and 672,711

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Solution

The third proportional to 435,358 and 672,711 is: 1,039,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,358 : 672,711 = 672,711 : x
  2. Step 2: Convert to fraction form
    435,358/672,711 = 672,711/x
  3. Step 3: Cross multiply
    435,358x = 672,711 × 672,711
  4. Step 4: Simplify right side
    435,358x = 452,540,089,521
  5. Step 5: Solve for x
    x = 452,540,089,521/435,358
  6. Step 6: Final answer
    x = 1,039,466.58

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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.