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Finding the Third Proportional to 8,513,465 and 18,916,497

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Solution

The third proportional to 8,513,465 and 18,916,497 is: 42,031,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513,465 : 18,916,497 = 18,916,497 : x
  2. Step 2: Convert to fraction form
    8,513,465/18,916,497 = 18,916,497/x
  3. Step 3: Cross multiply
    8,513,465x = 18,916,497 × 18,916,497
  4. Step 4: Simplify right side
    8,513,465x = 357,833,858,751,009
  5. Step 5: Solve for x
    x = 357,833,858,751,009/8,513,465
  6. Step 6: Final answer
    x = 42,031,518.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.