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Finding the Third Proportional to 297,788,643 and 654,357,042

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Solution

The third proportional to 297,788,643 and 654,357,042 is: 1,437,875,985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,788,643 : 654,357,042 = 654,357,042 : x
  2. Step 2: Convert to fraction form
    297,788,643/654,357,042 = 654,357,042/x
  3. Step 3: Cross multiply
    297,788,643x = 654,357,042 × 654,357,042
  4. Step 4: Simplify right side
    297,788,643x = 428,183,138,414,989,760
  5. Step 5: Solve for x
    x = 428,183,138,414,989,760/297,788,643
  6. Step 6: Final answer
    x = 1,437,875,985.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.