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Finding the Third Proportional to 355,207.57 and 778,528.55

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Solution

The third proportional to 355,207.57 and 778,528.55 is: 1,706,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,207.57 : 778,528.55 = 778,528.55 : x
  2. Step 2: Convert to fraction form
    355,207.57/778,528.55 = 778,528.55/x
  3. Step 3: Cross multiply
    355,207.57x = 778,528.55 × 778,528.55
  4. Step 4: Simplify right side
    355,207.57x = 606,106,698,299.30
  5. Step 5: Solve for x
    x = 606,106,698,299.30/355,207.57
  6. Step 6: Final answer
    x = 1,706,345.10

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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.