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Finding the Third Proportional to 258,678,695 and 390,703,705.50

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Solution

The third proportional to 258,678,695 and 390,703,705.50 is: 590,111,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,678,695 : 390,703,705.50 = 390,703,705.50 : x
  2. Step 2: Convert to fraction form
    258,678,695/390,703,705.50 = 390,703,705.50/x
  3. Step 3: Cross multiply
    258,678,695x = 390,703,705.50 × 390,703,705.50
  4. Step 4: Simplify right side
    258,678,695x = 152,649,385,491,430,720
  5. Step 5: Solve for x
    x = 152,649,385,491,430,720/258,678,695
  6. Step 6: Final answer
    x = 590,111,935.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.