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Finding the Third Proportional to 410,346 and 630,342

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Solution

The third proportional to 410,346 and 630,342 is: 968,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,346 : 630,342 = 630,342 : x
  2. Step 2: Convert to fraction form
    410,346/630,342 = 630,342/x
  3. Step 3: Cross multiply
    410,346x = 630,342 × 630,342
  4. Step 4: Simplify right side
    410,346x = 397,331,036,964
  5. Step 5: Solve for x
    x = 397,331,036,964/410,346
  6. Step 6: Final answer
    x = 968,282.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.