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Finding the Third Proportional to 318,292 and 460,306

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Solution

The third proportional to 318,292 and 460,306 is: 665,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,292 : 460,306 = 460,306 : x
  2. Step 2: Convert to fraction form
    318,292/460,306 = 460,306/x
  3. Step 3: Cross multiply
    318,292x = 460,306 × 460,306
  4. Step 4: Simplify right side
    318,292x = 211,881,613,636
  5. Step 5: Solve for x
    x = 211,881,613,636/318,292
  6. Step 6: Final answer
    x = 665,683.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.