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Finding the Third Proportional to 334,490 and 720,820

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Solution

The third proportional to 334,490 and 720,820 is: 1,553,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,490 : 720,820 = 720,820 : x
  2. Step 2: Convert to fraction form
    334,490/720,820 = 720,820/x
  3. Step 3: Cross multiply
    334,490x = 720,820 × 720,820
  4. Step 4: Simplify right side
    334,490x = 519,581,472,400
  5. Step 5: Solve for x
    x = 519,581,472,400/334,490
  6. Step 6: Final answer
    x = 1,553,354.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.