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Finding the Third Proportional to 315,302.63 and 488,445.19

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Solution

The third proportional to 315,302.63 and 488,445.19 is: 756,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,302.63 : 488,445.19 = 488,445.19 : x
  2. Step 2: Convert to fraction form
    315,302.63/488,445.19 = 488,445.19/x
  3. Step 3: Cross multiply
    315,302.63x = 488,445.19 × 488,445.19
  4. Step 4: Simplify right side
    315,302.63x = 238,578,701,191.91
  5. Step 5: Solve for x
    x = 238,578,701,191.91/315,302.63
  6. Step 6: Final answer
    x = 756,665.76

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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.