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Finding the Third Proportional to 397,148 and 607,511

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Solution

The third proportional to 397,148 and 607,511 is: 929,299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,148 : 607,511 = 607,511 : x
  2. Step 2: Convert to fraction form
    397,148/607,511 = 607,511/x
  3. Step 3: Cross multiply
    397,148x = 607,511 × 607,511
  4. Step 4: Simplify right side
    397,148x = 369,069,615,121
  5. Step 5: Solve for x
    x = 369,069,615,121/397,148
  6. Step 6: Final answer
    x = 929,299.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.