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Finding the Third Proportional to 432,224 and 634,312.50

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Solution

The third proportional to 432,224 and 634,312.50 is: 930,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,224 : 634,312.50 = 634,312.50 : x
  2. Step 2: Convert to fraction form
    432,224/634,312.50 = 634,312.50/x
  3. Step 3: Cross multiply
    432,224x = 634,312.50 × 634,312.50
  4. Step 4: Simplify right side
    432,224x = 402,352,347,656.25
  5. Step 5: Solve for x
    x = 402,352,347,656.25/432,224
  6. Step 6: Final answer
    x = 930,888.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.