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Finding the Third Proportional to 306,972 and 626,428

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Solution

The third proportional to 306,972 and 626,428 is: 1,278,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,972 : 626,428 = 626,428 : x
  2. Step 2: Convert to fraction form
    306,972/626,428 = 626,428/x
  3. Step 3: Cross multiply
    306,972x = 626,428 × 626,428
  4. Step 4: Simplify right side
    306,972x = 392,412,039,184
  5. Step 5: Solve for x
    x = 392,412,039,184/306,972
  6. Step 6: Final answer
    x = 1,278,331.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.