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Finding the Third Proportional to 278,637 and 420,547.50

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Solution

The third proportional to 278,637 and 420,547.50 is: 634,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,637 : 420,547.50 = 420,547.50 : x
  2. Step 2: Convert to fraction form
    278,637/420,547.50 = 420,547.50/x
  3. Step 3: Cross multiply
    278,637x = 420,547.50 × 420,547.50
  4. Step 4: Simplify right side
    278,637x = 176,860,199,756.25
  5. Step 5: Solve for x
    x = 176,860,199,756.25/278,637
  6. Step 6: Final answer
    x = 634,733.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.