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Finding the Third Proportional to 578,445 and 889,657.50

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Solution

The third proportional to 578,445 and 889,657.50 is: 1,368,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,445 : 889,657.50 = 889,657.50 : x
  2. Step 2: Convert to fraction form
    578,445/889,657.50 = 889,657.50/x
  3. Step 3: Cross multiply
    578,445x = 889,657.50 × 889,657.50
  4. Step 4: Simplify right side
    578,445x = 791,490,467,306.25
  5. Step 5: Solve for x
    x = 791,490,467,306.25/578,445
  6. Step 6: Final answer
    x = 1,368,307.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.