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Finding the Third Proportional to 877,136 and 1,312,135

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Solution

The third proportional to 877,136 and 1,312,135 is: 1,962,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,136 : 1,312,135 = 1,312,135 : x
  2. Step 2: Convert to fraction form
    877,136/1,312,135 = 1,312,135/x
  3. Step 3: Cross multiply
    877,136x = 1,312,135 × 1,312,135
  4. Step 4: Simplify right side
    877,136x = 1,721,698,258,225
  5. Step 5: Solve for x
    x = 1,721,698,258,225/877,136
  6. Step 6: Final answer
    x = 1,962,863.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.