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Finding the Third Proportional to 8,657,501 and 13,457,816

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Solution

The third proportional to 8,657,501 and 13,457,816 is: 20,919,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657,501 : 13,457,816 = 13,457,816 : x
  2. Step 2: Convert to fraction form
    8,657,501/13,457,816 = 13,457,816/x
  3. Step 3: Cross multiply
    8,657,501x = 13,457,816 × 13,457,816
  4. Step 4: Simplify right side
    8,657,501x = 181,112,811,489,856
  5. Step 5: Solve for x
    x = 181,112,811,489,856/8,657,501
  6. Step 6: Final answer
    x = 20,919,756.35

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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.