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Finding the Third Proportional to 209,954.53 and 314,931.80

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Solution

The third proportional to 209,954.53 and 314,931.80 is: 472,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,954.53 : 314,931.80 = 314,931.80 : x
  2. Step 2: Convert to fraction form
    209,954.53/314,931.80 = 314,931.80/x
  3. Step 3: Cross multiply
    209,954.53x = 314,931.80 × 314,931.80
  4. Step 4: Simplify right side
    209,954.53x = 99,182,036,682.92
  5. Step 5: Solve for x
    x = 99,182,036,682.92/209,954.53
  6. Step 6: Final answer
    x = 472,397.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.