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Finding the Third Proportional to 771,106.50 and 1,152,123.75

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Solution

The third proportional to 771,106.50 and 1,152,123.75 is: 1,721,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,106.50 : 1,152,123.75 = 1,152,123.75 : x
  2. Step 2: Convert to fraction form
    771,106.50/1,152,123.75 = 1,152,123.75/x
  3. Step 3: Cross multiply
    771,106.50x = 1,152,123.75 × 1,152,123.75
  4. Step 4: Simplify right side
    771,106.50x = 1,327,389,135,314.06
  5. Step 5: Solve for x
    x = 1,327,389,135,314.06/771,106.50
  6. Step 6: Final answer
    x = 1,721,408.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.