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Finding the Third Proportional to 310,095 and 669,758

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Solution

The third proportional to 310,095 and 669,758 is: 1,446,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,095 : 669,758 = 669,758 : x
  2. Step 2: Convert to fraction form
    310,095/669,758 = 669,758/x
  3. Step 3: Cross multiply
    310,095x = 669,758 × 669,758
  4. Step 4: Simplify right side
    310,095x = 448,575,778,564
  5. Step 5: Solve for x
    x = 448,575,778,564/310,095
  6. Step 6: Final answer
    x = 1,446,575.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.