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Finding the Third Proportional to 320,479 and 692,352

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Solution

The third proportional to 320,479 and 692,352 is: 1,495,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,479 : 692,352 = 692,352 : x
  2. Step 2: Convert to fraction form
    320,479/692,352 = 692,352/x
  3. Step 3: Cross multiply
    320,479x = 692,352 × 692,352
  4. Step 4: Simplify right side
    320,479x = 479,351,291,904
  5. Step 5: Solve for x
    x = 479,351,291,904/320,479
  6. Step 6: Final answer
    x = 1,495,733.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.