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Finding the Third Proportional to 390,613,108.50 and 531,948,390.75

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Solution

The third proportional to 390,613,108.50 and 531,948,390.75 is: 724,422,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,613,108.50 : 531,948,390.75 = 531,948,390.75 : x
  2. Step 2: Convert to fraction form
    390,613,108.50/531,948,390.75 = 531,948,390.75/x
  3. Step 3: Cross multiply
    390,613,108.50x = 531,948,390.75 × 531,948,390.75
  4. Step 4: Simplify right side
    390,613,108.50x = 282,969,090,421,514,688
  5. Step 5: Solve for x
    x = 282,969,090,421,514,688/390,613,108.50
  6. Step 6: Final answer
    x = 724,422,924.54

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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.