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Finding the Third Proportional to 21,680,500.50 and 31,921,776

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Solution

The third proportional to 21,680,500.50 and 31,921,776 is: 47,000,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680,500.50 : 31,921,776 = 31,921,776 : x
  2. Step 2: Convert to fraction form
    21,680,500.50/31,921,776 = 31,921,776/x
  3. Step 3: Cross multiply
    21,680,500.50x = 31,921,776 × 31,921,776
  4. Step 4: Simplify right side
    21,680,500.50x = 1,018,999,782,994,176
  5. Step 5: Solve for x
    x = 1,018,999,782,994,176/21,680,500.50
  6. Step 6: Final answer
    x = 47,000,749.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.