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Finding the Third Proportional to 712,290,402 and 1,547,197,552

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Solution

The third proportional to 712,290,402 and 1,547,197,552 is: 3,360,736,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,290,402 : 1,547,197,552 = 1,547,197,552 : x
  2. Step 2: Convert to fraction form
    712,290,402/1,547,197,552 = 1,547,197,552/x
  3. Step 3: Cross multiply
    712,290,402x = 1,547,197,552 × 1,547,197,552
  4. Step 4: Simplify right side
    712,290,402x = 2,393,820,264,914,792,448
  5. Step 5: Solve for x
    x = 2,393,820,264,914,792,448/712,290,402
  6. Step 6: Final answer
    x = 3,360,736,376.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.