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Finding the Third Proportional to 5,420,565 and 7,926,909.75

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Solution

The third proportional to 5,420,565 and 7,926,909.75 is: 11,592,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420,565 : 7,926,909.75 = 7,926,909.75 : x
  2. Step 2: Convert to fraction form
    5,420,565/7,926,909.75 = 7,926,909.75/x
  3. Step 3: Cross multiply
    5,420,565x = 7,926,909.75 × 7,926,909.75
  4. Step 4: Simplify right side
    5,420,565x = 62,835,898,184,645.06
  5. Step 5: Solve for x
    x = 62,835,898,184,645.06/5,420,565
  6. Step 6: Final answer
    x = 11,592,130.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.