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Finding the Third Proportional to 312,402,249 and 650,661,842.25

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Solution

The third proportional to 312,402,249 and 650,661,842.25 is: 1,355,178,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,402,249 : 650,661,842.25 = 650,661,842.25 : x
  2. Step 2: Convert to fraction form
    312,402,249/650,661,842.25 = 650,661,842.25/x
  3. Step 3: Cross multiply
    312,402,249x = 650,661,842.25 × 650,661,842.25
  4. Step 4: Simplify right side
    312,402,249x = 423,360,832,960,163,904
  5. Step 5: Solve for x
    x = 423,360,832,960,163,904/312,402,249
  6. Step 6: Final answer
    x = 1,355,178,569.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.