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Finding the Third Proportional to 907,315,407 and 1,401,267,127.50

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Solution

The third proportional to 907,315,407 and 1,401,267,127.50 is: 2,164,131,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,315,407 : 1,401,267,127.50 = 1,401,267,127.50 : x
  2. Step 2: Convert to fraction form
    907,315,407/1,401,267,127.50 = 1,401,267,127.50/x
  3. Step 3: Cross multiply
    907,315,407x = 1,401,267,127.50 × 1,401,267,127.50
  4. Step 4: Simplify right side
    907,315,407x = 1,963,549,562,612,101,376
  5. Step 5: Solve for x
    x = 1,963,549,562,612,101,376/907,315,407
  6. Step 6: Final answer
    x = 2,164,131,180.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.