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Finding the Third Proportional to 347,884,480 and 745,567,536

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Solution

The third proportional to 347,884,480 and 745,567,536 is: 1,597,860,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,884,480 : 745,567,536 = 745,567,536 : x
  2. Step 2: Convert to fraction form
    347,884,480/745,567,536 = 745,567,536/x
  3. Step 3: Cross multiply
    347,884,480x = 745,567,536 × 745,567,536
  4. Step 4: Simplify right side
    347,884,480x = 555,870,950,737,111,296
  5. Step 5: Solve for x
    x = 555,870,950,737,111,296/347,884,480
  6. Step 6: Final answer
    x = 1,597,860,734.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.