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Finding the Third Proportional to 316,968,721.50 and 437,980,477.50

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Solution

The third proportional to 316,968,721.50 and 437,980,477.50 is: 605,191,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,968,721.50 : 437,980,477.50 = 437,980,477.50 : x
  2. Step 2: Convert to fraction form
    316,968,721.50/437,980,477.50 = 437,980,477.50/x
  3. Step 3: Cross multiply
    316,968,721.50x = 437,980,477.50 × 437,980,477.50
  4. Step 4: Simplify right side
    316,968,721.50x = 191,826,898,671,128,000
  5. Step 5: Solve for x
    x = 191,826,898,671,128,000/316,968,721.50
  6. Step 6: Final answer
    x = 605,191,886.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.