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Finding the Third Proportional to 460,927 and 691,403

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Solution

The third proportional to 460,927 and 691,403 is: 1,037,123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,927 : 691,403 = 691,403 : x
  2. Step 2: Convert to fraction form
    460,927/691,403 = 691,403/x
  3. Step 3: Cross multiply
    460,927x = 691,403 × 691,403
  4. Step 4: Simplify right side
    460,927x = 478,038,108,409
  5. Step 5: Solve for x
    x = 478,038,108,409/460,927
  6. Step 6: Final answer
    x = 1,037,123.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.