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Finding the Third Proportional to 291,650 and 456,915

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Solution

The third proportional to 291,650 and 456,915 is: 715,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,650 : 456,915 = 456,915 : x
  2. Step 2: Convert to fraction form
    291,650/456,915 = 456,915/x
  3. Step 3: Cross multiply
    291,650x = 456,915 × 456,915
  4. Step 4: Simplify right side
    291,650x = 208,771,317,225
  5. Step 5: Solve for x
    x = 208,771,317,225/291,650
  6. Step 6: Final answer
    x = 715,828.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.