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Finding the Third Proportional to 72,031,688 and 157,724,512

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Solution

The third proportional to 72,031,688 and 157,724,512 is: 345,362,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,031,688 : 157,724,512 = 157,724,512 : x
  2. Step 2: Convert to fraction form
    72,031,688/157,724,512 = 157,724,512/x
  3. Step 3: Cross multiply
    72,031,688x = 157,724,512 × 157,724,512
  4. Step 4: Simplify right side
    72,031,688x = 24,877,021,685,638,144
  5. Step 5: Solve for x
    x = 24,877,021,685,638,144/72,031,688
  6. Step 6: Final answer
    x = 345,362,192.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.