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Finding the Third Proportional to 449,127 and 973,796.50

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Solution

The third proportional to 449,127 and 973,796.50 is: 2,111,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,127 : 973,796.50 = 973,796.50 : x
  2. Step 2: Convert to fraction form
    449,127/973,796.50 = 973,796.50/x
  3. Step 3: Cross multiply
    449,127x = 973,796.50 × 973,796.50
  4. Step 4: Simplify right side
    449,127x = 948,279,623,412.25
  5. Step 5: Solve for x
    x = 948,279,623,412.25/449,127
  6. Step 6: Final answer
    x = 2,111,384.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.