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Finding the Third Proportional to 78,528,750 and 172,635,362.25

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Solution

The third proportional to 78,528,750 and 172,635,362.25 is: 379,516,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,528,750 : 172,635,362.25 = 172,635,362.25 : x
  2. Step 2: Convert to fraction form
    78,528,750/172,635,362.25 = 172,635,362.25/x
  3. Step 3: Cross multiply
    78,528,750x = 172,635,362.25 × 172,635,362.25
  4. Step 4: Simplify right side
    78,528,750x = 29,802,968,299,188,724
  5. Step 5: Solve for x
    x = 29,802,968,299,188,724/78,528,750
  6. Step 6: Final answer
    x = 379,516,652.17

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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.