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Finding the Third Proportional to 321,931,513.13 and 697,344,989.06

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Solution

The third proportional to 321,931,513.13 and 697,344,989.06 is: 1,510,538,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,931,513.13 : 697,344,989.06 = 697,344,989.06 : x
  2. Step 2: Convert to fraction form
    321,931,513.13/697,344,989.06 = 697,344,989.06/x
  3. Step 3: Cross multiply
    321,931,513.13x = 697,344,989.06 × 697,344,989.06
  4. Step 4: Simplify right side
    321,931,513.13x = 486,290,033,770,578,240
  5. Step 5: Solve for x
    x = 486,290,033,770,578,240/321,931,513.13
  6. Step 6: Final answer
    x = 1,510,538,775.93

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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.