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Finding the Third Proportional to 315,490 and 458,833

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Solution

The third proportional to 315,490 and 458,833 is: 667,303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,490 : 458,833 = 458,833 : x
  2. Step 2: Convert to fraction form
    315,490/458,833 = 458,833/x
  3. Step 3: Cross multiply
    315,490x = 458,833 × 458,833
  4. Step 4: Simplify right side
    315,490x = 210,527,721,889
  5. Step 5: Solve for x
    x = 210,527,721,889/315,490
  6. Step 6: Final answer
    x = 667,303.95

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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.