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Finding the Third Proportional to 214,280 and 317,046

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Solution

The third proportional to 214,280 and 317,046 is: 469,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,280 : 317,046 = 317,046 : x
  2. Step 2: Convert to fraction form
    214,280/317,046 = 317,046/x
  3. Step 3: Cross multiply
    214,280x = 317,046 × 317,046
  4. Step 4: Simplify right side
    214,280x = 100,518,166,116
  5. Step 5: Solve for x
    x = 100,518,166,116/214,280
  6. Step 6: Final answer
    x = 469,097.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.