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Finding the Third Proportional to 279,280 and 602,840

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Solution

The third proportional to 279,280 and 602,840 is: 1,301,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,280 : 602,840 = 602,840 : x
  2. Step 2: Convert to fraction form
    279,280/602,840 = 602,840/x
  3. Step 3: Cross multiply
    279,280x = 602,840 × 602,840
  4. Step 4: Simplify right side
    279,280x = 363,416,065,600
  5. Step 5: Solve for x
    x = 363,416,065,600/279,280
  6. Step 6: Final answer
    x = 1,301,260.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.