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Finding the Third Proportional to 287,243,903 and 454,913,553

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Solution

The third proportional to 287,243,903 and 454,913,553 is: 720,455,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,243,903 : 454,913,553 = 454,913,553 : x
  2. Step 2: Convert to fraction form
    287,243,903/454,913,553 = 454,913,553/x
  3. Step 3: Cross multiply
    287,243,903x = 454,913,553 × 454,913,553
  4. Step 4: Simplify right side
    287,243,903x = 206,946,340,703,083,808
  5. Step 5: Solve for x
    x = 206,946,340,703,083,808/287,243,903
  6. Step 6: Final answer
    x = 720,455,120.34

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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.