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Finding the Third Proportional to 287,106,426 and 445,422,429

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Solution

The third proportional to 287,106,426 and 445,422,429 is: 691,036,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,106,426 : 445,422,429 = 445,422,429 : x
  2. Step 2: Convert to fraction form
    287,106,426/445,422,429 = 445,422,429/x
  3. Step 3: Cross multiply
    287,106,426x = 445,422,429 × 445,422,429
  4. Step 4: Simplify right side
    287,106,426x = 198,401,140,256,260,032
  5. Step 5: Solve for x
    x = 198,401,140,256,260,032/287,106,426
  6. Step 6: Final answer
    x = 691,036,919.72

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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.