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Finding the Third Proportional to 221,547,122 and 482,105,946

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Solution

The third proportional to 221,547,122 and 482,105,946 is: 1,049,104,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,547,122 : 482,105,946 = 482,105,946 : x
  2. Step 2: Convert to fraction form
    221,547,122/482,105,946 = 482,105,946/x
  3. Step 3: Cross multiply
    221,547,122x = 482,105,946 × 482,105,946
  4. Step 4: Simplify right side
    221,547,122x = 232,426,143,168,554,912
  5. Step 5: Solve for x
    x = 232,426,143,168,554,912/221,547,122
  6. Step 6: Final answer
    x = 1,049,104,773.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.