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Finding the Third Proportional to 640,253,388 and 1,427,721,776

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Solution

The third proportional to 640,253,388 and 1,427,721,776 is: 3,183,723,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,253,388 : 1,427,721,776 = 1,427,721,776 : x
  2. Step 2: Convert to fraction form
    640,253,388/1,427,721,776 = 1,427,721,776/x
  3. Step 3: Cross multiply
    640,253,388x = 1,427,721,776 × 1,427,721,776
  4. Step 4: Simplify right side
    640,253,388x = 2,038,389,469,664,594,176
  5. Step 5: Solve for x
    x = 2,038,389,469,664,594,176/640,253,388
  6. Step 6: Final answer
    x = 3,183,723,050.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.