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Finding the Third Proportional to 72,746,900 and 157,602,100

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Solution

The third proportional to 72,746,900 and 157,602,100 is: 341,436,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,746,900 : 157,602,100 = 157,602,100 : x
  2. Step 2: Convert to fraction form
    72,746,900/157,602,100 = 157,602,100/x
  3. Step 3: Cross multiply
    72,746,900x = 157,602,100 × 157,602,100
  4. Step 4: Simplify right side
    72,746,900x = 24,838,421,924,410,000
  5. Step 5: Solve for x
    x = 24,838,421,924,410,000/72,746,900
  6. Step 6: Final answer
    x = 341,436,156.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.