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Finding the Third Proportional to 65,780 and 102,702

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Solution

The third proportional to 65,780 and 102,702 is: 160,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,780 : 102,702 = 102,702 : x
  2. Step 2: Convert to fraction form
    65,780/102,702 = 102,702/x
  3. Step 3: Cross multiply
    65,780x = 102,702 × 102,702
  4. Step 4: Simplify right side
    65,780x = 10,547,700,804
  5. Step 5: Solve for x
    x = 10,547,700,804/65,780
  6. Step 6: Final answer
    x = 160,348.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.