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Finding the Third Proportional to 523,516.50 and 830,312.25

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Solution

The third proportional to 523,516.50 and 830,312.25 is: 1,316,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,516.50 : 830,312.25 = 830,312.25 : x
  2. Step 2: Convert to fraction form
    523,516.50/830,312.25 = 830,312.25/x
  3. Step 3: Cross multiply
    523,516.50x = 830,312.25 × 830,312.25
  4. Step 4: Simplify right side
    523,516.50x = 689,418,432,500.06
  5. Step 5: Solve for x
    x = 689,418,432,500.06/523,516.50
  6. Step 6: Final answer
    x = 1,316,899.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.