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Finding the Third Proportional to 310,515 and 468,724

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Solution

The third proportional to 310,515 and 468,724 is: 707,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,515 : 468,724 = 468,724 : x
  2. Step 2: Convert to fraction form
    310,515/468,724 = 468,724/x
  3. Step 3: Cross multiply
    310,515x = 468,724 × 468,724
  4. Step 4: Simplify right side
    310,515x = 219,702,188,176
  5. Step 5: Solve for x
    x = 219,702,188,176/310,515
  6. Step 6: Final answer
    x = 707,541.30

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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.