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Finding the Third Proportional to 430,431,080 and 685,233,804

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Solution

The third proportional to 430,431,080 and 685,233,804 is: 1,090,872,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,431,080 : 685,233,804 = 685,233,804 : x
  2. Step 2: Convert to fraction form
    430,431,080/685,233,804 = 685,233,804/x
  3. Step 3: Cross multiply
    430,431,080x = 685,233,804 × 685,233,804
  4. Step 4: Simplify right side
    430,431,080x = 469,545,366,144,310,400
  5. Step 5: Solve for x
    x = 469,545,366,144,310,400/430,431,080
  6. Step 6: Final answer
    x = 1,090,872,355.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.