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Finding the Third Proportional to 78,100,543.25 and 162,665,421.25

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Solution

The third proportional to 78,100,543.25 and 162,665,421.25 is: 338,794,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100,543.25 : 162,665,421.25 = 162,665,421.25 : x
  2. Step 2: Convert to fraction form
    78,100,543.25/162,665,421.25 = 162,665,421.25/x
  3. Step 3: Cross multiply
    78,100,543.25x = 162,665,421.25 × 162,665,421.25
  4. Step 4: Simplify right side
    78,100,543.25x = 26,460,039,270,439,952
  5. Step 5: Solve for x
    x = 26,460,039,270,439,952/78,100,543.25
  6. Step 6: Final answer
    x = 338,794,561.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.