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Finding the Third Proportional to 908,210 and 1,296,340

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Solution

The third proportional to 908,210 and 1,296,340 is: 1,850,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,210 : 1,296,340 = 1,296,340 : x
  2. Step 2: Convert to fraction form
    908,210/1,296,340 = 1,296,340/x
  3. Step 3: Cross multiply
    908,210x = 1,296,340 × 1,296,340
  4. Step 4: Simplify right side
    908,210x = 1,680,497,395,600
  5. Step 5: Solve for x
    x = 1,680,497,395,600/908,210
  6. Step 6: Final answer
    x = 1,850,340.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.