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Finding the Third Proportional to 777,632 and 1,218,288

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Solution

The third proportional to 777,632 and 1,218,288 is: 1,908,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,632 : 1,218,288 = 1,218,288 : x
  2. Step 2: Convert to fraction form
    777,632/1,218,288 = 1,218,288/x
  3. Step 3: Cross multiply
    777,632x = 1,218,288 × 1,218,288
  4. Step 4: Simplify right side
    777,632x = 1,484,225,650,944
  5. Step 5: Solve for x
    x = 1,484,225,650,944/777,632
  6. Step 6: Final answer
    x = 1,908,647.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.