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Finding the Third Proportional to 647,674,590 and 947,221,155

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Solution

The third proportional to 647,674,590 and 947,221,155 is: 1,385,306,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,674,590 : 947,221,155 = 947,221,155 : x
  2. Step 2: Convert to fraction form
    647,674,590/947,221,155 = 947,221,155/x
  3. Step 3: Cross multiply
    647,674,590x = 947,221,155 × 947,221,155
  4. Step 4: Simplify right side
    647,674,590x = 897,227,916,479,534,080
  5. Step 5: Solve for x
    x = 897,227,916,479,534,080/647,674,590
  6. Step 6: Final answer
    x = 1,385,306,649.87

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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.