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Finding the Third Proportional to 102,136,236 and 152,842,482

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Solution

The third proportional to 102,136,236 and 152,842,482 is: 228,722,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,136,236 : 152,842,482 = 152,842,482 : x
  2. Step 2: Convert to fraction form
    102,136,236/152,842,482 = 152,842,482/x
  3. Step 3: Cross multiply
    102,136,236x = 152,842,482 × 152,842,482
  4. Step 4: Simplify right side
    102,136,236x = 23,360,824,303,920,324
  5. Step 5: Solve for x
    x = 23,360,824,303,920,324/102,136,236
  6. Step 6: Final answer
    x = 228,722,197.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.