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Finding the Third Proportional to 737,126 and 1,604,053

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Solution

The third proportional to 737,126 and 1,604,053 is: 3,490,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,126 : 1,604,053 = 1,604,053 : x
  2. Step 2: Convert to fraction form
    737,126/1,604,053 = 1,604,053/x
  3. Step 3: Cross multiply
    737,126x = 1,604,053 × 1,604,053
  4. Step 4: Simplify right side
    737,126x = 2,572,986,026,809
  5. Step 5: Solve for x
    x = 2,572,986,026,809/737,126
  6. Step 6: Final answer
    x = 3,490,564.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.