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Finding the Third Proportional to 442,812 and 917,130

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Solution

The third proportional to 442,812 and 917,130 is: 1,899,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,812 : 917,130 = 917,130 : x
  2. Step 2: Convert to fraction form
    442,812/917,130 = 917,130/x
  3. Step 3: Cross multiply
    442,812x = 917,130 × 917,130
  4. Step 4: Simplify right side
    442,812x = 841,127,436,900
  5. Step 5: Solve for x
    x = 841,127,436,900/442,812
  6. Step 6: Final answer
    x = 1,899,513.65

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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.