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Finding the Third Proportional to 302,692 and 456,342

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Solution

The third proportional to 302,692 and 456,342 is: 687,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,692 : 456,342 = 456,342 : x
  2. Step 2: Convert to fraction form
    302,692/456,342 = 456,342/x
  3. Step 3: Cross multiply
    302,692x = 456,342 × 456,342
  4. Step 4: Simplify right side
    302,692x = 208,248,020,964
  5. Step 5: Solve for x
    x = 208,248,020,964/302,692
  6. Step 6: Final answer
    x = 687,986.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.