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Finding the Third Proportional to 450,174,426 and 975,496,644

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Solution

The third proportional to 450,174,426 and 975,496,644 is: 2,113,833,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,174,426 : 975,496,644 = 975,496,644 : x
  2. Step 2: Convert to fraction form
    450,174,426/975,496,644 = 975,496,644/x
  3. Step 3: Cross multiply
    450,174,426x = 975,496,644 × 975,496,644
  4. Step 4: Simplify right side
    450,174,426x = 951,593,702,455,262,720
  5. Step 5: Solve for x
    x = 951,593,702,455,262,720/450,174,426
  6. Step 6: Final answer
    x = 2,113,833,322.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.