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Finding the Third Proportional to 507,111 and 708,933

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Solution

The third proportional to 507,111 and 708,933 is: 991,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,111 : 708,933 = 708,933 : x
  2. Step 2: Convert to fraction form
    507,111/708,933 = 708,933/x
  3. Step 3: Cross multiply
    507,111x = 708,933 × 708,933
  4. Step 4: Simplify right side
    507,111x = 502,585,998,489
  5. Step 5: Solve for x
    x = 502,585,998,489/507,111
  6. Step 6: Final answer
    x = 991,076.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.