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Finding the Third Proportional to 678,008 and 1,486,264

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Solution

The third proportional to 678,008 and 1,486,264 is: 3,258,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,008 : 1,486,264 = 1,486,264 : x
  2. Step 2: Convert to fraction form
    678,008/1,486,264 = 1,486,264/x
  3. Step 3: Cross multiply
    678,008x = 1,486,264 × 1,486,264
  4. Step 4: Simplify right side
    678,008x = 2,208,980,677,696
  5. Step 5: Solve for x
    x = 2,208,980,677,696/678,008
  6. Step 6: Final answer
    x = 3,258,045.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.