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Finding the Third Proportional to 310,052 and 657,000

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Solution

The third proportional to 310,052 and 657,000 is: 1,392,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,052 : 657,000 = 657,000 : x
  2. Step 2: Convert to fraction form
    310,052/657,000 = 657,000/x
  3. Step 3: Cross multiply
    310,052x = 657,000 × 657,000
  4. Step 4: Simplify right side
    310,052x = 431,649,000,000
  5. Step 5: Solve for x
    x = 431,649,000,000/310,052
  6. Step 6: Final answer
    x = 1,392,182.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.