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Finding the Third Proportional to 147,704,368 and 321,416,540

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Solution

The third proportional to 147,704,368 and 321,416,540 is: 699,428,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,704,368 : 321,416,540 = 321,416,540 : x
  2. Step 2: Convert to fraction form
    147,704,368/321,416,540 = 321,416,540/x
  3. Step 3: Cross multiply
    147,704,368x = 321,416,540 × 321,416,540
  4. Step 4: Simplify right side
    147,704,368x = 103,308,592,185,571,600
  5. Step 5: Solve for x
    x = 103,308,592,185,571,600/147,704,368
  6. Step 6: Final answer
    x = 699,428,145.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.