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Finding the Third Proportional to 290,472 and 456,444

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Solution

The third proportional to 290,472 and 456,444 is: 717,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,472 : 456,444 = 456,444 : x
  2. Step 2: Convert to fraction form
    290,472/456,444 = 456,444/x
  3. Step 3: Cross multiply
    290,472x = 456,444 × 456,444
  4. Step 4: Simplify right side
    290,472x = 208,341,125,136
  5. Step 5: Solve for x
    x = 208,341,125,136/290,472
  6. Step 6: Final answer
    x = 717,250.29

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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.