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Finding the Third Proportional to 309,230,460 and 662,726,340

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Solution

The third proportional to 309,230,460 and 662,726,340 is: 1,420,319,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,230,460 : 662,726,340 = 662,726,340 : x
  2. Step 2: Convert to fraction form
    309,230,460/662,726,340 = 662,726,340/x
  3. Step 3: Cross multiply
    309,230,460x = 662,726,340 × 662,726,340
  4. Step 4: Simplify right side
    309,230,460x = 439,206,201,729,795,584
  5. Step 5: Solve for x
    x = 439,206,201,729,795,584/309,230,460
  6. Step 6: Final answer
    x = 1,420,319,983.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.