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Finding the Third Proportional to 285,724,680 and 620,158,080

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Solution

The third proportional to 285,724,680 and 620,158,080 is: 1,346,037,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,724,680 : 620,158,080 = 620,158,080 : x
  2. Step 2: Convert to fraction form
    285,724,680/620,158,080 = 620,158,080/x
  3. Step 3: Cross multiply
    285,724,680x = 620,158,080 × 620,158,080
  4. Step 4: Simplify right side
    285,724,680x = 384,596,044,189,286,400
  5. Step 5: Solve for x
    x = 384,596,044,189,286,400/285,724,680
  6. Step 6: Final answer
    x = 1,346,037,185.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.