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Finding the Third Proportional to 290,446 and 456,433

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Solution

The third proportional to 290,446 and 456,433 is: 717,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,446 : 456,433 = 456,433 : x
  2. Step 2: Convert to fraction form
    290,446/456,433 = 456,433/x
  3. Step 3: Cross multiply
    290,446x = 456,433 × 456,433
  4. Step 4: Simplify right side
    290,446x = 208,331,083,489
  5. Step 5: Solve for x
    x = 208,331,083,489/290,446
  6. Step 6: Final answer
    x = 717,279.92

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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.