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Finding the Third Proportional to 389,039,935.06 and 840,196,271.88

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Solution

The third proportional to 389,039,935.06 and 840,196,271.88 is: 1,814,543,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,039,935.06 : 840,196,271.88 = 840,196,271.88 : x
  2. Step 2: Convert to fraction form
    389,039,935.06/840,196,271.88 = 840,196,271.88/x
  3. Step 3: Cross multiply
    389,039,935.06x = 840,196,271.88 × 840,196,271.88
  4. Step 4: Simplify right side
    389,039,935.06x = 705,929,775,272,648,960
  5. Step 5: Solve for x
    x = 705,929,775,272,648,960/389,039,935.06
  6. Step 6: Final answer
    x = 1,814,543,216.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.