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Finding the Third Proportional to 297,502,656 and 642,808,704

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Solution

The third proportional to 297,502,656 and 642,808,704 is: 1,388,905,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,502,656 : 642,808,704 = 642,808,704 : x
  2. Step 2: Convert to fraction form
    297,502,656/642,808,704 = 642,808,704/x
  3. Step 3: Cross multiply
    297,502,656x = 642,808,704 × 642,808,704
  4. Step 4: Simplify right side
    297,502,656x = 413,203,029,938,159,616
  5. Step 5: Solve for x
    x = 413,203,029,938,159,616/297,502,656
  6. Step 6: Final answer
    x = 1,388,905,347.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.