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Finding the Third Proportional to 518,312 and 793,973.50

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Solution

The third proportional to 518,312 and 793,973.50 is: 1,216,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,312 : 793,973.50 = 793,973.50 : x
  2. Step 2: Convert to fraction form
    518,312/793,973.50 = 793,973.50/x
  3. Step 3: Cross multiply
    518,312x = 793,973.50 × 793,973.50
  4. Step 4: Simplify right side
    518,312x = 630,393,918,702.25
  5. Step 5: Solve for x
    x = 630,393,918,702.25/518,312
  6. Step 6: Final answer
    x = 1,216,244.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.