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Finding the Third Proportional to 788,316 and 1,217,407

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Solution

The third proportional to 788,316 and 1,217,407 is: 1,880,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,316 : 1,217,407 = 1,217,407 : x
  2. Step 2: Convert to fraction form
    788,316/1,217,407 = 1,217,407/x
  3. Step 3: Cross multiply
    788,316x = 1,217,407 × 1,217,407
  4. Step 4: Simplify right side
    788,316x = 1,482,079,803,649
  5. Step 5: Solve for x
    x = 1,482,079,803,649/788,316
  6. Step 6: Final answer
    x = 1,880,058.00

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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.