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Finding the Third Proportional to 1,032,476 and 1,564,256

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Solution

The third proportional to 1,032,476 and 1,564,256 is: 2,369,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,476 : 1,564,256 = 1,564,256 : x
  2. Step 2: Convert to fraction form
    1,032,476/1,564,256 = 1,564,256/x
  3. Step 3: Cross multiply
    1,032,476x = 1,564,256 × 1,564,256
  4. Step 4: Simplify right side
    1,032,476x = 2,446,896,833,536
  5. Step 5: Solve for x
    x = 2,446,896,833,536/1,032,476
  6. Step 6: Final answer
    x = 2,369,930.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.