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Finding the Third Proportional to 453,725,113.50 and 976,402,851.75

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Solution

The third proportional to 453,725,113.50 and 976,402,851.75 is: 2,101,189,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,725,113.50 : 976,402,851.75 = 976,402,851.75 : x
  2. Step 2: Convert to fraction form
    453,725,113.50/976,402,851.75 = 976,402,851.75/x
  3. Step 3: Cross multiply
    453,725,113.50x = 976,402,851.75 × 976,402,851.75
  4. Step 4: Simplify right side
    453,725,113.50x = 953,362,528,905,532,416
  5. Step 5: Solve for x
    x = 953,362,528,905,532,416/453,725,113.50
  6. Step 6: Final answer
    x = 2,101,189,686.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.