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Finding the Third Proportional to 209,084,502 and 431,592,813

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Solution

The third proportional to 209,084,502 and 431,592,813 is: 890,895,090.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,084,502 : 431,592,813 = 431,592,813 : x
  2. Step 2: Convert to fraction form
    209,084,502/431,592,813 = 431,592,813/x
  3. Step 3: Cross multiply
    209,084,502x = 431,592,813 × 431,592,813
  4. Step 4: Simplify right side
    209,084,502x = 186,272,356,233,252,960
  5. Step 5: Solve for x
    x = 186,272,356,233,252,960/209,084,502
  6. Step 6: Final answer
    x = 890,895,090.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.