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Finding the Third Proportional to 291,220 and 456,919

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Solution

The third proportional to 291,220 and 456,919 is: 716,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,220 : 456,919 = 456,919 : x
  2. Step 2: Convert to fraction form
    291,220/456,919 = 456,919/x
  3. Step 3: Cross multiply
    291,220x = 456,919 × 456,919
  4. Step 4: Simplify right side
    291,220x = 208,774,972,561
  5. Step 5: Solve for x
    x = 208,774,972,561/291,220
  6. Step 6: Final answer
    x = 716,897.78

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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.