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Finding the Third Proportional to 290,470 and 456,441

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Solution

The third proportional to 290,470 and 456,441 is: 717,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,470 : 456,441 = 456,441 : x
  2. Step 2: Convert to fraction form
    290,470/456,441 = 456,441/x
  3. Step 3: Cross multiply
    290,470x = 456,441 × 456,441
  4. Step 4: Simplify right side
    290,470x = 208,338,386,481
  5. Step 5: Solve for x
    x = 208,338,386,481/290,470
  6. Step 6: Final answer
    x = 717,245.80

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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.