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Finding the Third Proportional to 258,532,657.88 and 386,882,983.13

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Solution

The third proportional to 258,532,657.88 and 386,882,983.13 is: 578,953,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,532,657.88 : 386,882,983.13 = 386,882,983.13 : x
  2. Step 2: Convert to fraction form
    258,532,657.88/386,882,983.13 = 386,882,983.13/x
  3. Step 3: Cross multiply
    258,532,657.88x = 386,882,983.13 × 386,882,983.13
  4. Step 4: Simplify right side
    258,532,657.88x = 149,678,442,631,699,040
  5. Step 5: Solve for x
    x = 149,678,442,631,699,040/258,532,657.88
  6. Step 6: Final answer
    x = 578,953,714.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.