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Finding the Third Proportional to 127,575 and 178,470

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Solution

The third proportional to 127,575 and 178,470 is: 249,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,575 : 178,470 = 178,470 : x
  2. Step 2: Convert to fraction form
    127,575/178,470 = 178,470/x
  3. Step 3: Cross multiply
    127,575x = 178,470 × 178,470
  4. Step 4: Simplify right side
    127,575x = 31,851,540,900
  5. Step 5: Solve for x
    x = 31,851,540,900/127,575
  6. Step 6: Final answer
    x = 249,669.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.