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Finding the Third Proportional to 591,142 and 917,206

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Solution

The third proportional to 591,142 and 917,206 is: 1,423,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,142 : 917,206 = 917,206 : x
  2. Step 2: Convert to fraction form
    591,142/917,206 = 917,206/x
  3. Step 3: Cross multiply
    591,142x = 917,206 × 917,206
  4. Step 4: Simplify right side
    591,142x = 841,266,846,436
  5. Step 5: Solve for x
    x = 841,266,846,436/591,142
  6. Step 6: Final answer
    x = 1,423,121.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.