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Finding the Third Proportional to 3,736,543.13 and 7,771,300.31

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Solution

The third proportional to 3,736,543.13 and 7,771,300.31 is: 16,162,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736,543.13 : 7,771,300.31 = 7,771,300.31 : x
  2. Step 2: Convert to fraction form
    3,736,543.13/7,771,300.31 = 7,771,300.31/x
  3. Step 3: Cross multiply
    3,736,543.13x = 7,771,300.31 × 7,771,300.31
  4. Step 4: Simplify right side
    3,736,543.13x = 60,393,108,547,062.59
  5. Step 5: Solve for x
    x = 60,393,108,547,062.59/3,736,543.13
  6. Step 6: Final answer
    x = 16,162,829.26

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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.