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Finding the Third Proportional to 679,971 and 920,106

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Solution

The third proportional to 679,971 and 920,106 is: 1,245,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,971 : 920,106 = 920,106 : x
  2. Step 2: Convert to fraction form
    679,971/920,106 = 920,106/x
  3. Step 3: Cross multiply
    679,971x = 920,106 × 920,106
  4. Step 4: Simplify right side
    679,971x = 846,595,051,236
  5. Step 5: Solve for x
    x = 846,595,051,236/679,971
  6. Step 6: Final answer
    x = 1,245,045.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.