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Finding the Third Proportional to 72,600,496 and 112,470,072

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Solution

The third proportional to 72,600,496 and 112,470,072 is: 174,234,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,600,496 : 112,470,072 = 112,470,072 : x
  2. Step 2: Convert to fraction form
    72,600,496/112,470,072 = 112,470,072/x
  3. Step 3: Cross multiply
    72,600,496x = 112,470,072 × 112,470,072
  4. Step 4: Simplify right side
    72,600,496x = 12,649,517,095,685,184
  5. Step 5: Solve for x
    x = 12,649,517,095,685,184/72,600,496
  6. Step 6: Final answer
    x = 174,234,582.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.