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Finding the Third Proportional to 747,143 and 1,120,877

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Solution

The third proportional to 747,143 and 1,120,877 is: 1,681,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,143 : 1,120,877 = 1,120,877 : x
  2. Step 2: Convert to fraction form
    747,143/1,120,877 = 1,120,877/x
  3. Step 3: Cross multiply
    747,143x = 1,120,877 × 1,120,877
  4. Step 4: Simplify right side
    747,143x = 1,256,365,249,129
  5. Step 5: Solve for x
    x = 1,256,365,249,129/747,143
  6. Step 6: Final answer
    x = 1,681,559.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.