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Finding the Third Proportional to 317,406 and 430,590

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Solution

The third proportional to 317,406 and 430,590 is: 584,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,406 : 430,590 = 430,590 : x
  2. Step 2: Convert to fraction form
    317,406/430,590 = 430,590/x
  3. Step 3: Cross multiply
    317,406x = 430,590 × 430,590
  4. Step 4: Simplify right side
    317,406x = 185,407,748,100
  5. Step 5: Solve for x
    x = 185,407,748,100/317,406
  6. Step 6: Final answer
    x = 584,134.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.