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Finding the Third Proportional to 449,154.50 and 678,411.75

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Solution

The third proportional to 449,154.50 and 678,411.75 is: 1,024,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,154.50 : 678,411.75 = 678,411.75 : x
  2. Step 2: Convert to fraction form
    449,154.50/678,411.75 = 678,411.75/x
  3. Step 3: Cross multiply
    449,154.50x = 678,411.75 × 678,411.75
  4. Step 4: Simplify right side
    449,154.50x = 460,242,502,538.06
  5. Step 5: Solve for x
    x = 460,242,502,538.06/449,154.50
  6. Step 6: Final answer
    x = 1,024,686.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.