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Finding the Third Proportional to 7,712 and 9,776

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Solution

The third proportional to 7,712 and 9,776 is: 12,392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712 : 9,776 = 9,776 : x
  2. Step 2: Convert to fraction form
    7,712/9,776 = 9,776/x
  3. Step 3: Cross multiply
    7,712x = 9,776 × 9,776
  4. Step 4: Simplify right side
    7,712x = 95,570,176
  5. Step 5: Solve for x
    x = 95,570,176/7,712
  6. Step 6: Final answer
    x = 12,392.40

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.