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Finding the Third Proportional to 398,779.50 and 612,953

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Solution

The third proportional to 398,779.50 and 612,953 is: 942,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,779.50 : 612,953 = 612,953 : x
  2. Step 2: Convert to fraction form
    398,779.50/612,953 = 612,953/x
  3. Step 3: Cross multiply
    398,779.50x = 612,953 × 612,953
  4. Step 4: Simplify right side
    398,779.50x = 375,711,380,209
  5. Step 5: Solve for x
    x = 375,711,380,209/398,779.50
  6. Step 6: Final answer
    x = 942,153.20

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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.