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Finding the Third Proportional to 349,283,322 and 708,830,532

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Solution

The third proportional to 349,283,322 and 708,830,532 is: 1,438,490,450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,283,322 : 708,830,532 = 708,830,532 : x
  2. Step 2: Convert to fraction form
    349,283,322/708,830,532 = 708,830,532/x
  3. Step 3: Cross multiply
    349,283,322x = 708,830,532 × 708,830,532
  4. Step 4: Simplify right side
    349,283,322x = 502,440,723,095,403,008
  5. Step 5: Solve for x
    x = 502,440,723,095,403,008/349,283,322
  6. Step 6: Final answer
    x = 1,438,490,450.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.