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Finding the Third Proportional to 398,799 and 612,985.50

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Solution

The third proportional to 398,799 and 612,985.50 is: 942,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,799 : 612,985.50 = 612,985.50 : x
  2. Step 2: Convert to fraction form
    398,799/612,985.50 = 612,985.50/x
  3. Step 3: Cross multiply
    398,799x = 612,985.50 × 612,985.50
  4. Step 4: Simplify right side
    398,799x = 375,751,223,210.25
  5. Step 5: Solve for x
    x = 375,751,223,210.25/398,799
  6. Step 6: Final answer
    x = 942,207.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.