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Finding the Third Proportional to 287,243,910 and 454,913,562

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Solution

The third proportional to 287,243,910 and 454,913,562 is: 720,455,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,243,910 : 454,913,562 = 454,913,562 : x
  2. Step 2: Convert to fraction form
    287,243,910/454,913,562 = 454,913,562/x
  3. Step 3: Cross multiply
    287,243,910x = 454,913,562 × 454,913,562
  4. Step 4: Simplify right side
    287,243,910x = 206,946,348,891,527,840
  5. Step 5: Solve for x
    x = 206,946,348,891,527,840/287,243,910
  6. Step 6: Final answer
    x = 720,455,131.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.