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Finding the Third Proportional to 418,379,476 and 912,090,820

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Solution

The third proportional to 418,379,476 and 912,090,820 is: 1,988,409,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,379,476 : 912,090,820 = 912,090,820 : x
  2. Step 2: Convert to fraction form
    418,379,476/912,090,820 = 912,090,820/x
  3. Step 3: Cross multiply
    418,379,476x = 912,090,820 × 912,090,820
  4. Step 4: Simplify right side
    418,379,476x = 831,909,663,928,272,384
  5. Step 5: Solve for x
    x = 831,909,663,928,272,384/418,379,476
  6. Step 6: Final answer
    x = 1,988,409,354.78

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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.