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Finding the Third Proportional to 316,739 and 672,340

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Solution

The third proportional to 316,739 and 672,340 is: 1,427,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,739 : 672,340 = 672,340 : x
  2. Step 2: Convert to fraction form
    316,739/672,340 = 672,340/x
  3. Step 3: Cross multiply
    316,739x = 672,340 × 672,340
  4. Step 4: Simplify right side
    316,739x = 452,041,075,600
  5. Step 5: Solve for x
    x = 452,041,075,600/316,739
  6. Step 6: Final answer
    x = 1,427,172.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.