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Finding the Third Proportional to 272,335 and 399,346

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Solution

The third proportional to 272,335 and 399,346 is: 585,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,335 : 399,346 = 399,346 : x
  2. Step 2: Convert to fraction form
    272,335/399,346 = 399,346/x
  3. Step 3: Cross multiply
    272,335x = 399,346 × 399,346
  4. Step 4: Simplify right side
    272,335x = 159,477,227,716
  5. Step 5: Solve for x
    x = 159,477,227,716/272,335
  6. Step 6: Final answer
    x = 585,592.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.