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Finding the Third Proportional to 317,593,800 and 687,949,272

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Solution

The third proportional to 317,593,800 and 687,949,272 is: 1,490,187,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,593,800 : 687,949,272 = 687,949,272 : x
  2. Step 2: Convert to fraction form
    317,593,800/687,949,272 = 687,949,272/x
  3. Step 3: Cross multiply
    317,593,800x = 687,949,272 × 687,949,272
  4. Step 4: Simplify right side
    317,593,800x = 473,274,200,845,329,984
  5. Step 5: Solve for x
    x = 473,274,200,845,329,984/317,593,800
  6. Step 6: Final answer
    x = 1,490,187,153.67

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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.