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Finding the Third Proportional to 36,406,218 and 78,215,281.50

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Solution

The third proportional to 36,406,218 and 78,215,281.50 is: 168,038,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,406,218 : 78,215,281.50 = 78,215,281.50 : x
  2. Step 2: Convert to fraction form
    36,406,218/78,215,281.50 = 78,215,281.50/x
  3. Step 3: Cross multiply
    36,406,218x = 78,215,281.50 × 78,215,281.50
  4. Step 4: Simplify right side
    36,406,218x = 6,117,630,260,124,242
  5. Step 5: Solve for x
    x = 6,117,630,260,124,242/36,406,218
  6. Step 6: Final answer
    x = 168,038,060.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.