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Finding the Third Proportional to 407,520 and 611,280

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Solution

The third proportional to 407,520 and 611,280 is: 916,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,520 : 611,280 = 611,280 : x
  2. Step 2: Convert to fraction form
    407,520/611,280 = 611,280/x
  3. Step 3: Cross multiply
    407,520x = 611,280 × 611,280
  4. Step 4: Simplify right side
    407,520x = 373,663,238,400
  5. Step 5: Solve for x
    x = 373,663,238,400/407,520
  6. Step 6: Final answer
    x = 916,920

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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.