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Finding the Third Proportional to 356,983 and 750,780

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Solution

The third proportional to 356,983 and 750,780 is: 1,578,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,983 : 750,780 = 750,780 : x
  2. Step 2: Convert to fraction form
    356,983/750,780 = 750,780/x
  3. Step 3: Cross multiply
    356,983x = 750,780 × 750,780
  4. Step 4: Simplify right side
    356,983x = 563,670,608,400
  5. Step 5: Solve for x
    x = 563,670,608,400/356,983
  6. Step 6: Final answer
    x = 1,578,984.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.