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Finding the Third Proportional to 689,272 and 1,029,776

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Solution

The third proportional to 689,272 and 1,029,776 is: 1,538,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,272 : 1,029,776 = 1,029,776 : x
  2. Step 2: Convert to fraction form
    689,272/1,029,776 = 1,029,776/x
  3. Step 3: Cross multiply
    689,272x = 1,029,776 × 1,029,776
  4. Step 4: Simplify right side
    689,272x = 1,060,438,610,176
  5. Step 5: Solve for x
    x = 1,060,438,610,176/689,272
  6. Step 6: Final answer
    x = 1,538,490.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.