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Finding the Third Proportional to 132,169,006.13 and 286,304,240.25

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Solution

The third proportional to 132,169,006.13 and 286,304,240.25 is: 620,191,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,169,006.13 : 286,304,240.25 = 286,304,240.25 : x
  2. Step 2: Convert to fraction form
    132,169,006.13/286,304,240.25 = 286,304,240.25/x
  3. Step 3: Cross multiply
    132,169,006.13x = 286,304,240.25 × 286,304,240.25
  4. Step 4: Simplify right side
    132,169,006.13x = 81,970,117,985,129,728
  5. Step 5: Solve for x
    x = 81,970,117,985,129,728/132,169,006.13
  6. Step 6: Final answer
    x = 620,191,680.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.