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Finding the Third Proportional to 390,613,104 and 531,948,384

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Solution

The third proportional to 390,613,104 and 531,948,384 is: 724,422,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,613,104 : 531,948,384 = 531,948,384 : x
  2. Step 2: Convert to fraction form
    390,613,104/531,948,384 = 531,948,384/x
  3. Step 3: Cross multiply
    390,613,104x = 531,948,384 × 531,948,384
  4. Step 4: Simplify right side
    390,613,104x = 282,969,083,240,211,456
  5. Step 5: Solve for x
    x = 282,969,083,240,211,456/390,613,104
  6. Step 6: Final answer
    x = 724,422,914.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.