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Finding the Third Proportional to 334,320,565.50 and 702,482,283

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Solution

The third proportional to 334,320,565.50 and 702,482,283 is: 1,476,072,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,320,565.50 : 702,482,283 = 702,482,283 : x
  2. Step 2: Convert to fraction form
    334,320,565.50/702,482,283 = 702,482,283/x
  3. Step 3: Cross multiply
    334,320,565.50x = 702,482,283 × 702,482,283
  4. Step 4: Simplify right side
    334,320,565.50x = 493,481,357,928,892,096
  5. Step 5: Solve for x
    x = 493,481,357,928,892,096/334,320,565.50
  6. Step 6: Final answer
    x = 1,476,072,395.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.