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Finding the Third Proportional to 723,278 and 1,575,138

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Solution

The third proportional to 723,278 and 1,575,138 is: 3,430,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,278 : 1,575,138 = 1,575,138 : x
  2. Step 2: Convert to fraction form
    723,278/1,575,138 = 1,575,138/x
  3. Step 3: Cross multiply
    723,278x = 1,575,138 × 1,575,138
  4. Step 4: Simplify right side
    723,278x = 2,481,059,719,044
  5. Step 5: Solve for x
    x = 2,481,059,719,044/723,278
  6. Step 6: Final answer
    x = 3,430,298.89

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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.