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Finding the Third Proportional to 338,730 and 495,377

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Solution

The third proportional to 338,730 and 495,377 is: 724,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,730 : 495,377 = 495,377 : x
  2. Step 2: Convert to fraction form
    338,730/495,377 = 495,377/x
  3. Step 3: Cross multiply
    338,730x = 495,377 × 495,377
  4. Step 4: Simplify right side
    338,730x = 245,398,372,129
  5. Step 5: Solve for x
    x = 245,398,372,129/338,730
  6. Step 6: Final answer
    x = 724,466.01

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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.