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Finding the Third Proportional to 31,140,731.50 and 72,758,802.50

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Solution

The third proportional to 31,140,731.50 and 72,758,802.50 is: 169,997,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,140,731.50 : 72,758,802.50 = 72,758,802.50 : x
  2. Step 2: Convert to fraction form
    31,140,731.50/72,758,802.50 = 72,758,802.50/x
  3. Step 3: Cross multiply
    31,140,731.50x = 72,758,802.50 × 72,758,802.50
  4. Step 4: Simplify right side
    31,140,731.50x = 5,293,843,341,234,006
  5. Step 5: Solve for x
    x = 5,293,843,341,234,006/31,140,731.50
  6. Step 6: Final answer
    x = 169,997,398.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.