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Finding the Third Proportional to 109,519,136 and 163,937,532

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Solution

The third proportional to 109,519,136 and 163,937,532 is: 245,395,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,519,136 : 163,937,532 = 163,937,532 : x
  2. Step 2: Convert to fraction form
    109,519,136/163,937,532 = 163,937,532/x
  3. Step 3: Cross multiply
    109,519,136x = 163,937,532 × 163,937,532
  4. Step 4: Simplify right side
    109,519,136x = 26,875,514,398,251,024
  5. Step 5: Solve for x
    x = 26,875,514,398,251,024/109,519,136
  6. Step 6: Final answer
    x = 245,395,602.81

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Why These Related Problems?

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