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Finding the Third Proportional to 78,528 and 170,178

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Solution

The third proportional to 78,528 and 170,178 is: 368,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,528 : 170,178 = 170,178 : x
  2. Step 2: Convert to fraction form
    78,528/170,178 = 170,178/x
  3. Step 3: Cross multiply
    78,528x = 170,178 × 170,178
  4. Step 4: Simplify right side
    78,528x = 28,960,551,684
  5. Step 5: Solve for x
    x = 28,960,551,684/78,528
  6. Step 6: Final answer
    x = 368,792.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.