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Finding the Third Proportional to 291,440 and 463,416

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Solution

The third proportional to 291,440 and 463,416 is: 736,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,440 : 463,416 = 463,416 : x
  2. Step 2: Convert to fraction form
    291,440/463,416 = 463,416/x
  3. Step 3: Cross multiply
    291,440x = 463,416 × 463,416
  4. Step 4: Simplify right side
    291,440x = 214,754,389,056
  5. Step 5: Solve for x
    x = 214,754,389,056/291,440
  6. Step 6: Final answer
    x = 736,873.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.