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Finding the Third Proportional to 180,486 and 265,497

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Solution

The third proportional to 180,486 and 265,497 is: 390,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,486 : 265,497 = 265,497 : x
  2. Step 2: Convert to fraction form
    180,486/265,497 = 265,497/x
  3. Step 3: Cross multiply
    180,486x = 265,497 × 265,497
  4. Step 4: Simplify right side
    180,486x = 70,488,657,009
  5. Step 5: Solve for x
    x = 70,488,657,009/180,486
  6. Step 6: Final answer
    x = 390,549.17

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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.