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Finding the Third Proportional to 338,114.25 and 506,320.88

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Solution

The third proportional to 338,114.25 and 506,320.88 is: 758,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,114.25 : 506,320.88 = 506,320.88 : x
  2. Step 2: Convert to fraction form
    338,114.25/506,320.88 = 506,320.88/x
  3. Step 3: Cross multiply
    338,114.25x = 506,320.88 × 506,320.88
  4. Step 4: Simplify right side
    338,114.25x = 256,360,828,460.77
  5. Step 5: Solve for x
    x = 256,360,828,460.77/338,114.25
  6. Step 6: Final answer
    x = 758,207.70

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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.