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Finding the Third Proportional to 390,199,788 and 531,475,992

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Solution

The third proportional to 390,199,788 and 531,475,992 is: 723,902,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,199,788 : 531,475,992 = 531,475,992 : x
  2. Step 2: Convert to fraction form
    390,199,788/531,475,992 = 531,475,992/x
  3. Step 3: Cross multiply
    390,199,788x = 531,475,992 × 531,475,992
  4. Step 4: Simplify right side
    390,199,788x = 282,466,730,072,384,064
  5. Step 5: Solve for x
    x = 282,466,730,072,384,064/390,199,788
  6. Step 6: Final answer
    x = 723,902,828.14

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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.