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Finding the Third Proportional to 315,306 and 691,931

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Solution

The third proportional to 315,306 and 691,931 is: 1,518,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,306 : 691,931 = 691,931 : x
  2. Step 2: Convert to fraction form
    315,306/691,931 = 691,931/x
  3. Step 3: Cross multiply
    315,306x = 691,931 × 691,931
  4. Step 4: Simplify right side
    315,306x = 478,768,508,761
  5. Step 5: Solve for x
    x = 478,768,508,761/315,306
  6. Step 6: Final answer
    x = 1,518,424.99

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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.