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Finding the Third Proportional to 2,191,724,480 and 3,208,955,776

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Solution

The third proportional to 2,191,724,480 and 3,208,955,776 is: 4,698,308,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191,724,480 : 3,208,955,776 = 3,208,955,776 : x
  2. Step 2: Convert to fraction form
    2,191,724,480/3,208,955,776 = 3,208,955,776/x
  3. Step 3: Cross multiply
    2,191,724,480x = 3,208,955,776 × 3,208,955,776
  4. Step 4: Simplify right side
    2,191,724,480x = 10,297,397,172,323,762,176
  5. Step 5: Solve for x
    x = 10,297,397,172,323,762,176/2,191,724,480
  6. Step 6: Final answer
    x = 4,698,308,234.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.