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Finding the Third Proportional to 442,813 and 917,133

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Solution

The third proportional to 442,813 and 917,133 is: 1,899,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,813 : 917,133 = 917,133 : x
  2. Step 2: Convert to fraction form
    442,813/917,133 = 917,133/x
  3. Step 3: Cross multiply
    442,813x = 917,133 × 917,133
  4. Step 4: Simplify right side
    442,813x = 841,132,939,689
  5. Step 5: Solve for x
    x = 841,132,939,689/442,813
  6. Step 6: Final answer
    x = 1,899,521.78

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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.