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Finding the Third Proportional to 338,740.59 and 495,390.38

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Solution

The third proportional to 338,740.59 and 495,390.38 is: 724,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,740.59 : 495,390.38 = 495,390.38 : x
  2. Step 2: Convert to fraction form
    338,740.59/495,390.38 = 495,390.38/x
  3. Step 3: Cross multiply
    338,740.59x = 495,390.38 × 495,390.38
  4. Step 4: Simplify right side
    338,740.59x = 245,411,623,642.64
  5. Step 5: Solve for x
    x = 245,411,623,642.64/338,740.59
  6. Step 6: Final answer
    x = 724,482.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.