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Finding the Third Proportional to 398,257 and 630,929

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Solution

The third proportional to 398,257 and 630,929 is: 999,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,257 : 630,929 = 630,929 : x
  2. Step 2: Convert to fraction form
    398,257/630,929 = 630,929/x
  3. Step 3: Cross multiply
    398,257x = 630,929 × 630,929
  4. Step 4: Simplify right side
    398,257x = 398,071,403,041
  5. Step 5: Solve for x
    x = 398,071,403,041/398,257
  6. Step 6: Final answer
    x = 999,533.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.