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Finding the Third Proportional to 312,507 and 442,486

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Solution

The third proportional to 312,507 and 442,486 is: 626,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,507 : 442,486 = 442,486 : x
  2. Step 2: Convert to fraction form
    312,507/442,486 = 442,486/x
  3. Step 3: Cross multiply
    312,507x = 442,486 × 442,486
  4. Step 4: Simplify right side
    312,507x = 195,793,860,196
  5. Step 5: Solve for x
    x = 195,793,860,196/312,507
  6. Step 6: Final answer
    x = 626,526.32

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.