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Finding the Third Proportional to 316,879,020 and 680,613,381

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Solution

The third proportional to 316,879,020 and 680,613,381 is: 1,461,865,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,879,020 : 680,613,381 = 680,613,381 : x
  2. Step 2: Convert to fraction form
    316,879,020/680,613,381 = 680,613,381/x
  3. Step 3: Cross multiply
    316,879,020x = 680,613,381 × 680,613,381
  4. Step 4: Simplify right side
    316,879,020x = 463,234,574,396,251,136
  5. Step 5: Solve for x
    x = 463,234,574,396,251,136/316,879,020
  6. Step 6: Final answer
    x = 1,461,865,712.65

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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.