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Finding the Third Proportional to 291,840 and 450,708

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Solution

The third proportional to 291,840 and 450,708 is: 696,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,840 : 450,708 = 450,708 : x
  2. Step 2: Convert to fraction form
    291,840/450,708 = 450,708/x
  3. Step 3: Cross multiply
    291,840x = 450,708 × 450,708
  4. Step 4: Simplify right side
    291,840x = 203,137,701,264
  5. Step 5: Solve for x
    x = 203,137,701,264/291,840
  6. Step 6: Final answer
    x = 696,058.46

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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.