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Finding the Third Proportional to 442,788 and 917,083

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Solution

The third proportional to 442,788 and 917,083 is: 1,899,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,788 : 917,083 = 917,083 : x
  2. Step 2: Convert to fraction form
    442,788/917,083 = 917,083/x
  3. Step 3: Cross multiply
    442,788x = 917,083 × 917,083
  4. Step 4: Simplify right side
    442,788x = 841,041,228,889
  5. Step 5: Solve for x
    x = 841,041,228,889/442,788
  6. Step 6: Final answer
    x = 1,899,421.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.