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Finding the Third Proportional to 287,018,496 and 612,305,280

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Solution

The third proportional to 287,018,496 and 612,305,280 is: 1,306,249,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,018,496 : 612,305,280 = 612,305,280 : x
  2. Step 2: Convert to fraction form
    287,018,496/612,305,280 = 612,305,280/x
  3. Step 3: Cross multiply
    287,018,496x = 612,305,280 × 612,305,280
  4. Step 4: Simplify right side
    287,018,496x = 374,917,755,915,878,400
  5. Step 5: Solve for x
    x = 374,917,755,915,878,400/287,018,496
  6. Step 6: Final answer
    x = 1,306,249,461.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.