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Finding the Third Proportional to 326,428 and 692,042

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Solution

The third proportional to 326,428 and 692,042 is: 1,467,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,428 : 692,042 = 692,042 : x
  2. Step 2: Convert to fraction form
    326,428/692,042 = 692,042/x
  3. Step 3: Cross multiply
    326,428x = 692,042 × 692,042
  4. Step 4: Simplify right side
    326,428x = 478,922,129,764
  5. Step 5: Solve for x
    x = 478,922,129,764/326,428
  6. Step 6: Final answer
    x = 1,467,160.08

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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.