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Finding the Third Proportional to 310,818 and 464,309

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Solution

The third proportional to 310,818 and 464,309 is: 693,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,818 : 464,309 = 464,309 : x
  2. Step 2: Convert to fraction form
    310,818/464,309 = 464,309/x
  3. Step 3: Cross multiply
    310,818x = 464,309 × 464,309
  4. Step 4: Simplify right side
    310,818x = 215,582,847,481
  5. Step 5: Solve for x
    x = 215,582,847,481/310,818
  6. Step 6: Final answer
    x = 693,598.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.