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Finding the Third Proportional to 721,504,881 and 1,115,390,437.31

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Solution

The third proportional to 721,504,881 and 1,115,390,437.31 is: 1,724,306,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,504,881 : 1,115,390,437.31 = 1,115,390,437.31 : x
  2. Step 2: Convert to fraction form
    721,504,881/1,115,390,437.31 = 1,115,390,437.31/x
  3. Step 3: Cross multiply
    721,504,881x = 1,115,390,437.31 × 1,115,390,437.31
  4. Step 4: Simplify right side
    721,504,881x = 1,244,095,827,648,169,984
  5. Step 5: Solve for x
    x = 1,244,095,827,648,169,984/721,504,881
  6. Step 6: Final answer
    x = 1,724,306,876.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.