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Finding the Third Proportional to 678,705 and 1,423,506

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Solution

The third proportional to 678,705 and 1,423,506 is: 2,985,640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,705 : 1,423,506 = 1,423,506 : x
  2. Step 2: Convert to fraction form
    678,705/1,423,506 = 1,423,506/x
  3. Step 3: Cross multiply
    678,705x = 1,423,506 × 1,423,506
  4. Step 4: Simplify right side
    678,705x = 2,026,369,332,036
  5. Step 5: Solve for x
    x = 2,026,369,332,036/678,705
  6. Step 6: Final answer
    x = 2,985,640.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.