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Finding the Third Proportional to 338,480 and 720,428

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Solution

The third proportional to 338,480 and 720,428 is: 1,533,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,480 : 720,428 = 720,428 : x
  2. Step 2: Convert to fraction form
    338,480/720,428 = 720,428/x
  3. Step 3: Cross multiply
    338,480x = 720,428 × 720,428
  4. Step 4: Simplify right side
    338,480x = 519,016,503,184
  5. Step 5: Solve for x
    x = 519,016,503,184/338,480
  6. Step 6: Final answer
    x = 1,533,374.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.