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Finding the Third Proportional to 307,822,876.50 and 677,209,720.50

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Solution

The third proportional to 307,822,876.50 and 677,209,720.50 is: 1,489,860,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,822,876.50 : 677,209,720.50 = 677,209,720.50 : x
  2. Step 2: Convert to fraction form
    307,822,876.50/677,209,720.50 = 677,209,720.50/x
  3. Step 3: Cross multiply
    307,822,876.50x = 677,209,720.50 × 677,209,720.50
  4. Step 4: Simplify right side
    307,822,876.50x = 458,613,005,539,688,128
  5. Step 5: Solve for x
    x = 458,613,005,539,688,128/307,822,876.50
  6. Step 6: Final answer
    x = 1,489,860,047.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.