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Finding the Third Proportional to 103,634,017 and 221,616,940

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Solution

The third proportional to 103,634,017 and 221,616,940 is: 473,918,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634,017 : 221,616,940 = 221,616,940 : x
  2. Step 2: Convert to fraction form
    103,634,017/221,616,940 = 221,616,940/x
  3. Step 3: Cross multiply
    103,634,017x = 221,616,940 × 221,616,940
  4. Step 4: Simplify right side
    103,634,017x = 49,114,068,094,963,600
  5. Step 5: Solve for x
    x = 49,114,068,094,963,600/103,634,017
  6. Step 6: Final answer
    x = 473,918,405.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.