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Finding the Third Proportional to 316,050 and 688,902

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Solution

The third proportional to 316,050 and 688,902 is: 1,501,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,050 : 688,902 = 688,902 : x
  2. Step 2: Convert to fraction form
    316,050/688,902 = 688,902/x
  3. Step 3: Cross multiply
    316,050x = 688,902 × 688,902
  4. Step 4: Simplify right side
    316,050x = 474,585,965,604
  5. Step 5: Solve for x
    x = 474,585,965,604/316,050
  6. Step 6: Final answer
    x = 1,501,616.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.