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Finding the Third Proportional to 517,166 and 709,906

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Solution

The third proportional to 517,166 and 709,906 is: 974,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,166 : 709,906 = 709,906 : x
  2. Step 2: Convert to fraction form
    517,166/709,906 = 709,906/x
  3. Step 3: Cross multiply
    517,166x = 709,906 × 709,906
  4. Step 4: Simplify right side
    517,166x = 503,966,528,836
  5. Step 5: Solve for x
    x = 503,966,528,836/517,166
  6. Step 6: Final answer
    x = 974,477.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.