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Finding the Third Proportional to 306,780 and 662,562

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Solution

The third proportional to 306,780 and 662,562 is: 1,430,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,780 : 662,562 = 662,562 : x
  2. Step 2: Convert to fraction form
    306,780/662,562 = 662,562/x
  3. Step 3: Cross multiply
    306,780x = 662,562 × 662,562
  4. Step 4: Simplify right side
    306,780x = 438,988,403,844
  5. Step 5: Solve for x
    x = 438,988,403,844/306,780
  6. Step 6: Final answer
    x = 1,430,955.09

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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.