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Finding the Third Proportional to 477,638.44 and 766,973.81

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Solution

The third proportional to 477,638.44 and 766,973.81 is: 1,231,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,638.44 : 766,973.81 = 766,973.81 : x
  2. Step 2: Convert to fraction form
    477,638.44/766,973.81 = 766,973.81/x
  3. Step 3: Cross multiply
    477,638.44x = 766,973.81 × 766,973.81
  4. Step 4: Simplify right side
    477,638.44x = 588,248,829,060.79
  5. Step 5: Solve for x
    x = 588,248,829,060.79/477,638.44
  6. Step 6: Final answer
    x = 1,231,577.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.