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Finding the Third Proportional to 368,129,410 and 586,050,467

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Solution

The third proportional to 368,129,410 and 586,050,467 is: 932,973,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,129,410 : 586,050,467 = 586,050,467 : x
  2. Step 2: Convert to fraction form
    368,129,410/586,050,467 = 586,050,467/x
  3. Step 3: Cross multiply
    368,129,410x = 586,050,467 × 586,050,467
  4. Step 4: Simplify right side
    368,129,410x = 343,455,149,870,918,080
  5. Step 5: Solve for x
    x = 343,455,149,870,918,080/368,129,410
  6. Step 6: Final answer
    x = 932,973,950.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.