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Finding the Third Proportional to 472,945.50 and 679,893.75

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Solution

The third proportional to 472,945.50 and 679,893.75 is: 977,397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,945.50 : 679,893.75 = 679,893.75 : x
  2. Step 2: Convert to fraction form
    472,945.50/679,893.75 = 679,893.75/x
  3. Step 3: Cross multiply
    472,945.50x = 679,893.75 × 679,893.75
  4. Step 4: Simplify right side
    472,945.50x = 462,255,511,289.06
  5. Step 5: Solve for x
    x = 462,255,511,289.06/472,945.50
  6. Step 6: Final answer
    x = 977,397.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.