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Finding the Third Proportional to 485,364,781 and 686,776,291.50

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Solution

The third proportional to 485,364,781 and 686,776,291.50 is: 971,767,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,364,781 : 686,776,291.50 = 686,776,291.50 : x
  2. Step 2: Convert to fraction form
    485,364,781/686,776,291.50 = 686,776,291.50/x
  3. Step 3: Cross multiply
    485,364,781x = 686,776,291.50 × 686,776,291.50
  4. Step 4: Simplify right side
    485,364,781x = 471,661,674,566,492,992
  5. Step 5: Solve for x
    x = 471,661,674,566,492,992/485,364,781
  6. Step 6: Final answer
    x = 971,767,406.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.