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Finding the Third Proportional to 420,672 and 912,321

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Solution

The third proportional to 420,672 and 912,321 is: 1,978,571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,672 : 912,321 = 912,321 : x
  2. Step 2: Convert to fraction form
    420,672/912,321 = 912,321/x
  3. Step 3: Cross multiply
    420,672x = 912,321 × 912,321
  4. Step 4: Simplify right side
    420,672x = 832,329,607,041
  5. Step 5: Solve for x
    x = 832,329,607,041/420,672
  6. Step 6: Final answer
    x = 1,978,571.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.