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Finding the Third Proportional to 63,690 and 136,776

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Solution

The third proportional to 63,690 and 136,776 is: 293,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,690 : 136,776 = 136,776 : x
  2. Step 2: Convert to fraction form
    63,690/136,776 = 136,776/x
  3. Step 3: Cross multiply
    63,690x = 136,776 × 136,776
  4. Step 4: Simplify right side
    63,690x = 18,707,674,176
  5. Step 5: Solve for x
    x = 18,707,674,176/63,690
  6. Step 6: Final answer
    x = 293,730.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.