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Finding the Third Proportional to 72,720 and 106,776

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Solution

The third proportional to 72,720 and 106,776 is: 156,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,720 : 106,776 = 106,776 : x
  2. Step 2: Convert to fraction form
    72,720/106,776 = 106,776/x
  3. Step 3: Cross multiply
    72,720x = 106,776 × 106,776
  4. Step 4: Simplify right side
    72,720x = 11,401,114,176
  5. Step 5: Solve for x
    x = 11,401,114,176/72,720
  6. Step 6: Final answer
    x = 156,781.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.