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Finding the Third Proportional to 584,307 and 882,783

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Solution

The third proportional to 584,307 and 882,783 is: 1,333,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,307 : 882,783 = 882,783 : x
  2. Step 2: Convert to fraction form
    584,307/882,783 = 882,783/x
  3. Step 3: Cross multiply
    584,307x = 882,783 × 882,783
  4. Step 4: Simplify right side
    584,307x = 779,305,825,089
  5. Step 5: Solve for x
    x = 779,305,825,089/584,307
  6. Step 6: Final answer
    x = 1,333,726.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.