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Finding the Third Proportional to 676,515 and 1,455,090

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Solution

The third proportional to 676,515 and 1,455,090 is: 3,129,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,515 : 1,455,090 = 1,455,090 : x
  2. Step 2: Convert to fraction form
    676,515/1,455,090 = 1,455,090/x
  3. Step 3: Cross multiply
    676,515x = 1,455,090 × 1,455,090
  4. Step 4: Simplify right side
    676,515x = 2,117,286,908,100
  5. Step 5: Solve for x
    x = 2,117,286,908,100/676,515
  6. Step 6: Final answer
    x = 3,129,696.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.