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Finding the Third Proportional to 243,341.81 and 377,763.19

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Solution

The third proportional to 243,341.81 and 377,763.19 is: 586,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,341.81 : 377,763.19 = 377,763.19 : x
  2. Step 2: Convert to fraction form
    243,341.81/377,763.19 = 377,763.19/x
  3. Step 3: Cross multiply
    243,341.81x = 377,763.19 × 377,763.19
  4. Step 4: Simplify right side
    243,341.81x = 142,705,025,830.16
  5. Step 5: Solve for x
    x = 142,705,025,830.16/243,341.81
  6. Step 6: Final answer
    x = 586,438.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.