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Finding the Third Proportional to 291,216 and 456,913

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Solution

The third proportional to 291,216 and 456,913 is: 716,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,216 : 456,913 = 456,913 : x
  2. Step 2: Convert to fraction form
    291,216/456,913 = 456,913/x
  3. Step 3: Cross multiply
    291,216x = 456,913 × 456,913
  4. Step 4: Simplify right side
    291,216x = 208,769,489,569
  5. Step 5: Solve for x
    x = 208,769,489,569/291,216
  6. Step 6: Final answer
    x = 716,888.80

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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.