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Finding the Third Proportional to 133,017,160.50 and 310,788,117

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Solution

The third proportional to 133,017,160.50 and 310,788,117 is: 726,141,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,017,160.50 : 310,788,117 = 310,788,117 : x
  2. Step 2: Convert to fraction form
    133,017,160.50/310,788,117 = 310,788,117/x
  3. Step 3: Cross multiply
    133,017,160.50x = 310,788,117 × 310,788,117
  4. Step 4: Simplify right side
    133,017,160.50x = 96,589,253,668,405,696
  5. Step 5: Solve for x
    x = 96,589,253,668,405,696/133,017,160.50
  6. Step 6: Final answer
    x = 726,141,298.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.