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Finding the Third Proportional to 130,080 and 287,232

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Solution

The third proportional to 130,080 and 287,232 is: 634,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,080 : 287,232 = 287,232 : x
  2. Step 2: Convert to fraction form
    130,080/287,232 = 287,232/x
  3. Step 3: Cross multiply
    130,080x = 287,232 × 287,232
  4. Step 4: Simplify right side
    130,080x = 82,502,221,824
  5. Step 5: Solve for x
    x = 82,502,221,824/130,080
  6. Step 6: Final answer
    x = 634,242.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.