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Finding the Third Proportional to 317,460 and 479,430

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Solution

The third proportional to 317,460 and 479,430 is: 724,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,460 : 479,430 = 479,430 : x
  2. Step 2: Convert to fraction form
    317,460/479,430 = 479,430/x
  3. Step 3: Cross multiply
    317,460x = 479,430 × 479,430
  4. Step 4: Simplify right side
    317,460x = 229,853,124,900
  5. Step 5: Solve for x
    x = 229,853,124,900/317,460
  6. Step 6: Final answer
    x = 724,038.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.